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Finding the Fourth Proportional to 1,037.30, 1,431.47 and 571.55

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Solution

The fourth proportional to 1,037.30, 1,431.47 and 571.55 is: 788.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.30 : 1,431.47 = 571.55 : x
  2. Step 2: Convert to fraction form
    1,037.30/1,431.47 = 571.55/x
  3. Step 3: Cross multiply
    1,037.30x = 1,431.47 × 571.55
  4. Step 4: Simplify right side
    1,037.30x = 818,150.95
  5. Step 5: Solve for x
    x = 818,150.95/1,037.30
  6. Step 6: Final answer
    x = 788.74

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