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Finding the Fourth Proportional to 1,037.16, 1,431.26 and 565.04

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Solution

The fourth proportional to 1,037.16, 1,431.26 and 565.04 is: 779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.16 : 1,431.26 = 565.04 : x
  2. Step 2: Convert to fraction form
    1,037.16/1,431.26 = 565.04/x
  3. Step 3: Cross multiply
    1,037.16x = 1,431.26 × 565.04
  4. Step 4: Simplify right side
    1,037.16x = 808,719.15
  5. Step 5: Solve for x
    x = 808,719.15/1,037.16
  6. Step 6: Final answer
    x = 779.74

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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.