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Finding the Fourth Proportional to 747, 1,121.04 and 651.96

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Solution

The fourth proportional to 747, 1,121.04 and 651.96 is: 978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    747 : 1,121.04 = 651.96 : x
  2. Step 2: Convert to fraction form
    747/1,121.04 = 651.96/x
  3. Step 3: Cross multiply
    747x = 1,121.04 × 651.96
  4. Step 4: Simplify right side
    747x = 730,873.24
  5. Step 5: Solve for x
    x = 730,873.24/747
  6. Step 6: Final answer
    x = 978.41

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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.