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Finding the Fourth Proportional to 927.46, 1,391.45 and 464.68

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Solution

The fourth proportional to 927.46, 1,391.45 and 464.68 is: 697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.46 : 1,391.45 = 464.68 : x
  2. Step 2: Convert to fraction form
    927.46/1,391.45 = 464.68/x
  3. Step 3: Cross multiply
    927.46x = 1,391.45 × 464.68
  4. Step 4: Simplify right side
    927.46x = 646,569.71
  5. Step 5: Solve for x
    x = 646,569.71/927.46
  6. Step 6: Final answer
    x = 697.14

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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.