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Finding the Fourth Proportional to 1,440.54, 2,160.86 and 400.62

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Solution

The fourth proportional to 1,440.54, 2,160.86 and 400.62 is: 600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.54 : 2,160.86 = 400.62 : x
  2. Step 2: Convert to fraction form
    1,440.54/2,160.86 = 400.62/x
  3. Step 3: Cross multiply
    1,440.54x = 2,160.86 × 400.62
  4. Step 4: Simplify right side
    1,440.54x = 865,691.34
  5. Step 5: Solve for x
    x = 865,691.34/1,440.54
  6. Step 6: Final answer
    x = 600.95

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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.