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Finding the Fourth Proportional to 937.66, 1,406.47 and 732.40

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Solution

The fourth proportional to 937.66, 1,406.47 and 732.40 is: 1,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.66 : 1,406.47 = 732.40 : x
  2. Step 2: Convert to fraction form
    937.66/1,406.47 = 732.40/x
  3. Step 3: Cross multiply
    937.66x = 1,406.47 × 732.40
  4. Step 4: Simplify right side
    937.66x = 1,030,098.63
  5. Step 5: Solve for x
    x = 1,030,098.63/937.66
  6. Step 6: Final answer
    x = 1,098.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.