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Finding the Fourth Proportional to 595.92, 889.62 and 531.12

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Solution

The fourth proportional to 595.92, 889.62 and 531.12 is: 792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.92 : 889.62 = 531.12 : x
  2. Step 2: Convert to fraction form
    595.92/889.62 = 531.12/x
  3. Step 3: Cross multiply
    595.92x = 889.62 × 531.12
  4. Step 4: Simplify right side
    595.92x = 472,494.97
  5. Step 5: Solve for x
    x = 472,494.97/595.92
  6. Step 6: Final answer
    x = 792.88

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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.