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Finding the Fourth Proportional to 1,765.42, 2,646.40 and 840.73

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Solution

The fourth proportional to 1,765.42, 2,646.40 and 840.73 is: 1,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.42 : 2,646.40 = 840.73 : x
  2. Step 2: Convert to fraction form
    1,765.42/2,646.40 = 840.73/x
  3. Step 3: Cross multiply
    1,765.42x = 2,646.40 × 840.73
  4. Step 4: Simplify right side
    1,765.42x = 2,224,903.36
  5. Step 5: Solve for x
    x = 2,224,903.36/1,765.42
  6. Step 6: Final answer
    x = 1,260.27

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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.