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Finding the Fourth Proportional to 1,037.98, 1,432.59 and 706.18

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Solution

The fourth proportional to 1,037.98, 1,432.59 and 706.18 is: 974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.98 : 1,432.59 = 706.18 : x
  2. Step 2: Convert to fraction form
    1,037.98/1,432.59 = 706.18/x
  3. Step 3: Cross multiply
    1,037.98x = 1,432.59 × 706.18
  4. Step 4: Simplify right side
    1,037.98x = 1,011,666.41
  5. Step 5: Solve for x
    x = 1,011,666.41/1,037.98
  6. Step 6: Final answer
    x = 974.65

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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.