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Finding the Fourth Proportional to 648.90, 971.98 and 592.86

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Solution

The fourth proportional to 648.90, 971.98 and 592.86 is: 888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.90 : 971.98 = 592.86 : x
  2. Step 2: Convert to fraction form
    648.90/971.98 = 592.86/x
  3. Step 3: Cross multiply
    648.90x = 971.98 × 592.86
  4. Step 4: Simplify right side
    648.90x = 576,248.06
  5. Step 5: Solve for x
    x = 576,248.06/648.90
  6. Step 6: Final answer
    x = 888.04

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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.