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Finding the Fourth Proportional to 1,502.35, 2,253.83 and 529.14

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Solution

The fourth proportional to 1,502.35, 2,253.83 and 529.14 is: 793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.35 : 2,253.83 = 529.14 : x
  2. Step 2: Convert to fraction form
    1,502.35/2,253.83 = 529.14/x
  3. Step 3: Cross multiply
    1,502.35x = 2,253.83 × 529.14
  4. Step 4: Simplify right side
    1,502.35x = 1,192,591.61
  5. Step 5: Solve for x
    x = 1,192,591.61/1,502.35
  6. Step 6: Final answer
    x = 793.82

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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.