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Finding the Fourth Proportional to 1,501.52, 2,252.04 and 405.92

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Solution

The fourth proportional to 1,501.52, 2,252.04 and 405.92 is: 608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.52 : 2,252.04 = 405.92 : x
  2. Step 2: Convert to fraction form
    1,501.52/2,252.04 = 405.92/x
  3. Step 3: Cross multiply
    1,501.52x = 2,252.04 × 405.92
  4. Step 4: Simplify right side
    1,501.52x = 914,148.08
  5. Step 5: Solve for x
    x = 914,148.08/1,501.52
  6. Step 6: Final answer
    x = 608.82

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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.