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Finding the Fourth Proportional to 1,037.64, 1,431.91 and 565.53

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Solution

The fourth proportional to 1,037.64, 1,431.91 and 565.53 is: 780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.64 : 1,431.91 = 565.53 : x
  2. Step 2: Convert to fraction form
    1,037.64/1,431.91 = 565.53/x
  3. Step 3: Cross multiply
    1,037.64x = 1,431.91 × 565.53
  4. Step 4: Simplify right side
    1,037.64x = 809,788.06
  5. Step 5: Solve for x
    x = 809,788.06/1,037.64
  6. Step 6: Final answer
    x = 780.41

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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.