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Finding the Fourth Proportional to 1,318.75, 1,978.47 and 497.03

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Solution

The fourth proportional to 1,318.75, 1,978.47 and 497.03 is: 745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.75 : 1,978.47 = 497.03 : x
  2. Step 2: Convert to fraction form
    1,318.75/1,978.47 = 497.03/x
  3. Step 3: Cross multiply
    1,318.75x = 1,978.47 × 497.03
  4. Step 4: Simplify right side
    1,318.75x = 983,358.94
  5. Step 5: Solve for x
    x = 983,358.94/1,318.75
  6. Step 6: Final answer
    x = 745.68

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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.