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Finding the Fourth Proportional to 1,031.78, 1,423.89 and 737.75

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Solution

The fourth proportional to 1,031.78, 1,423.89 and 737.75 is: 1,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.78 : 1,423.89 = 737.75 : x
  2. Step 2: Convert to fraction form
    1,031.78/1,423.89 = 737.75/x
  3. Step 3: Cross multiply
    1,031.78x = 1,423.89 × 737.75
  4. Step 4: Simplify right side
    1,031.78x = 1,050,464.04
  5. Step 5: Solve for x
    x = 1,050,464.04/1,031.78
  6. Step 6: Final answer
    x = 1,018.11

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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.