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Finding the Fourth Proportional to 1,562.16, 2,342.31 and 521.91

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Solution

The fourth proportional to 1,562.16, 2,342.31 and 521.91 is: 782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.16 : 2,342.31 = 521.91 : x
  2. Step 2: Convert to fraction form
    1,562.16/2,342.31 = 521.91/x
  3. Step 3: Cross multiply
    1,562.16x = 2,342.31 × 521.91
  4. Step 4: Simplify right side
    1,562.16x = 1,222,475.01
  5. Step 5: Solve for x
    x = 1,222,475.01/1,562.16
  6. Step 6: Final answer
    x = 782.55

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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.