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Finding the Fourth Proportional to 1,387.45, 2,080.72 and 462.74

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Solution

The fourth proportional to 1,387.45, 2,080.72 and 462.74 is: 693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.45 : 2,080.72 = 462.74 : x
  2. Step 2: Convert to fraction form
    1,387.45/2,080.72 = 462.74/x
  3. Step 3: Cross multiply
    1,387.45x = 2,080.72 × 462.74
  4. Step 4: Simplify right side
    1,387.45x = 962,822.55
  5. Step 5: Solve for x
    x = 962,822.55/1,387.45
  6. Step 6: Final answer
    x = 693.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.