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Finding the Fourth Proportional to 706.92, 1,054.49 and 592.10

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Solution

The fourth proportional to 706.92, 1,054.49 and 592.10 is: 883.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.92 : 1,054.49 = 592.10 : x
  2. Step 2: Convert to fraction form
    706.92/1,054.49 = 592.10/x
  3. Step 3: Cross multiply
    706.92x = 1,054.49 × 592.10
  4. Step 4: Simplify right side
    706.92x = 624,363.53
  5. Step 5: Solve for x
    x = 624,363.53/706.92
  6. Step 6: Final answer
    x = 883.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.