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Finding the Fourth Proportional to 1,318.52, 1,978.01 and 496.91

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Solution

The fourth proportional to 1,318.52, 1,978.01 and 496.91 is: 745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.52 : 1,978.01 = 496.91 : x
  2. Step 2: Convert to fraction form
    1,318.52/1,978.01 = 496.91/x
  3. Step 3: Cross multiply
    1,318.52x = 1,978.01 × 496.91
  4. Step 4: Simplify right side
    1,318.52x = 982,892.95
  5. Step 5: Solve for x
    x = 982,892.95/1,318.52
  6. Step 6: Final answer
    x = 745.45

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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.