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Finding the Fourth Proportional to 923.16, 1,384.92 and 461.04

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Solution

The fourth proportional to 923.16, 1,384.92 and 461.04 is: 691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.16 : 1,384.92 = 461.04 : x
  2. Step 2: Convert to fraction form
    923.16/1,384.92 = 461.04/x
  3. Step 3: Cross multiply
    923.16x = 1,384.92 × 461.04
  4. Step 4: Simplify right side
    923.16x = 638,503.52
  5. Step 5: Solve for x
    x = 638,503.52/923.16
  6. Step 6: Final answer
    x = 691.65

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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.