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Finding the Fourth Proportional to 1,508.74, 2,262.98 and 521.47

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Solution

The fourth proportional to 1,508.74, 2,262.98 and 521.47 is: 782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.74 : 2,262.98 = 521.47 : x
  2. Step 2: Convert to fraction form
    1,508.74/2,262.98 = 521.47/x
  3. Step 3: Cross multiply
    1,508.74x = 2,262.98 × 521.47
  4. Step 4: Simplify right side
    1,508.74x = 1,180,065.09
  5. Step 5: Solve for x
    x = 1,180,065.09/1,508.74
  6. Step 6: Final answer
    x = 782.15

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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.