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Finding the Fourth Proportional to 1,225.52, 1,838.60 and 532.32

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Solution

The fourth proportional to 1,225.52, 1,838.60 and 532.32 is: 798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.52 : 1,838.60 = 532.32 : x
  2. Step 2: Convert to fraction form
    1,225.52/1,838.60 = 532.32/x
  3. Step 3: Cross multiply
    1,225.52x = 1,838.60 × 532.32
  4. Step 4: Simplify right side
    1,225.52x = 978,726.33
  5. Step 5: Solve for x
    x = 978,726.33/1,225.52
  6. Step 6: Final answer
    x = 798.62

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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.