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Finding the Fourth Proportional to 908.01, 1,252.13 and 592.92

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Solution

The fourth proportional to 908.01, 1,252.13 and 592.92 is: 817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.01 : 1,252.13 = 592.92 : x
  2. Step 2: Convert to fraction form
    908.01/1,252.13 = 592.92/x
  3. Step 3: Cross multiply
    908.01x = 1,252.13 × 592.92
  4. Step 4: Simplify right side
    908.01x = 742,409.96
  5. Step 5: Solve for x
    x = 742,409.96/908.01
  6. Step 6: Final answer
    x = 817.62

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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.