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Finding the Fourth Proportional to 1,374.80, 2,062.48 and 509.18

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Solution

The fourth proportional to 1,374.80, 2,062.48 and 509.18 is: 763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.80 : 2,062.48 = 509.18 : x
  2. Step 2: Convert to fraction form
    1,374.80/2,062.48 = 509.18/x
  3. Step 3: Cross multiply
    1,374.80x = 2,062.48 × 509.18
  4. Step 4: Simplify right side
    1,374.80x = 1,050,177.45
  5. Step 5: Solve for x
    x = 1,050,177.45/1,374.80
  6. Step 6: Final answer
    x = 763.88

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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.