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Finding the Fourth Proportional to 1,005.92, 1,388.40 and 592.16

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Solution

The fourth proportional to 1,005.92, 1,388.40 and 592.16 is: 817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.92 : 1,388.40 = 592.16 : x
  2. Step 2: Convert to fraction form
    1,005.92/1,388.40 = 592.16/x
  3. Step 3: Cross multiply
    1,005.92x = 1,388.40 × 592.16
  4. Step 4: Simplify right side
    1,005.92x = 822,154.94
  5. Step 5: Solve for x
    x = 822,154.94/1,005.92
  6. Step 6: Final answer
    x = 817.32

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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.