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Finding the Fourth Proportional to 1,653.48, 2,478.67 and 830.79

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Solution

The fourth proportional to 1,653.48, 2,478.67 and 830.79 is: 1,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.48 : 2,478.67 = 830.79 : x
  2. Step 2: Convert to fraction form
    1,653.48/2,478.67 = 830.79/x
  3. Step 3: Cross multiply
    1,653.48x = 2,478.67 × 830.79
  4. Step 4: Simplify right side
    1,653.48x = 2,059,254.25
  5. Step 5: Solve for x
    x = 2,059,254.25/1,653.48
  6. Step 6: Final answer
    x = 1,245.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.