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Finding the Fourth Proportional to 1,548.31, 2,321.70 and 508.12

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Solution

The fourth proportional to 1,548.31, 2,321.70 and 508.12 is: 761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.31 : 2,321.70 = 508.12 : x
  2. Step 2: Convert to fraction form
    1,548.31/2,321.70 = 508.12/x
  3. Step 3: Cross multiply
    1,548.31x = 2,321.70 × 508.12
  4. Step 4: Simplify right side
    1,548.31x = 1,179,702.20
  5. Step 5: Solve for x
    x = 1,179,702.20/1,548.31
  6. Step 6: Final answer
    x = 761.93

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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.