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Finding the Fourth Proportional to 1,037.17, 1,431.59 and 665.14

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Solution

The fourth proportional to 1,037.17, 1,431.59 and 665.14 is: 918.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.17 : 1,431.59 = 665.14 : x
  2. Step 2: Convert to fraction form
    1,037.17/1,431.59 = 665.14/x
  3. Step 3: Cross multiply
    1,037.17x = 1,431.59 × 665.14
  4. Step 4: Simplify right side
    1,037.17x = 952,207.77
  5. Step 5: Solve for x
    x = 952,207.77/1,037.17
  6. Step 6: Final answer
    x = 918.09

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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.