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Finding the Fourth Proportional to 1,018.92, 1,529.60 and 532.92

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Solution

The fourth proportional to 1,018.92, 1,529.60 and 532.92 is: 800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.92 : 1,529.60 = 532.92 : x
  2. Step 2: Convert to fraction form
    1,018.92/1,529.60 = 532.92/x
  3. Step 3: Cross multiply
    1,018.92x = 1,529.60 × 532.92
  4. Step 4: Simplify right side
    1,018.92x = 815,151.77
  5. Step 5: Solve for x
    x = 815,151.77/1,018.92
  6. Step 6: Final answer
    x = 800.02

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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.