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Finding the Fourth Proportional to 1,037.45, 1,432.40 and 706.16

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Solution

The fourth proportional to 1,037.45, 1,432.40 and 706.16 is: 974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.45 : 1,432.40 = 706.16 : x
  2. Step 2: Convert to fraction form
    1,037.45/1,432.40 = 706.16/x
  3. Step 3: Cross multiply
    1,037.45x = 1,432.40 × 706.16
  4. Step 4: Simplify right side
    1,037.45x = 1,011,503.58
  5. Step 5: Solve for x
    x = 1,011,503.58/1,037.45
  6. Step 6: Final answer
    x = 974.99

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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.