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Finding the Fourth Proportional to 1,387.24, 2,080.16 and 462.47

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Solution

The fourth proportional to 1,387.24, 2,080.16 and 462.47 is: 693.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.24 : 2,080.16 = 462.47 : x
  2. Step 2: Convert to fraction form
    1,387.24/2,080.16 = 462.47/x
  3. Step 3: Cross multiply
    1,387.24x = 2,080.16 × 462.47
  4. Step 4: Simplify right side
    1,387.24x = 962,011.60
  5. Step 5: Solve for x
    x = 962,011.60/1,387.24
  6. Step 6: Final answer
    x = 693.47

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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.