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Finding the Fourth Proportional to 1,501.57, 2,253.80 and 732.61

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Solution

The fourth proportional to 1,501.57, 2,253.80 and 732.61 is: 1,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.57 : 2,253.80 = 732.61 : x
  2. Step 2: Convert to fraction form
    1,501.57/2,253.80 = 732.61/x
  3. Step 3: Cross multiply
    1,501.57x = 2,253.80 × 732.61
  4. Step 4: Simplify right side
    1,501.57x = 1,651,152.75
  5. Step 5: Solve for x
    x = 1,651,152.75/1,501.57
  6. Step 6: Final answer
    x = 1,099.62

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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.