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Finding the Fourth Proportional to 1,230.75, 1,698.48 and 765.27

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Solution

The fourth proportional to 1,230.75, 1,698.48 and 765.27 is: 1,056.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.75 : 1,698.48 = 765.27 : x
  2. Step 2: Convert to fraction form
    1,230.75/1,698.48 = 765.27/x
  3. Step 3: Cross multiply
    1,230.75x = 1,698.48 × 765.27
  4. Step 4: Simplify right side
    1,230.75x = 1,299,795.79
  5. Step 5: Solve for x
    x = 1,299,795.79/1,230.75
  6. Step 6: Final answer
    x = 1,056.10

Related Problems

Find fourth proportional to 615.38, 849.24 and 382.64
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.