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Finding the Fourth Proportional to 750.97, 1,125.50 and 653.06

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Solution

The fourth proportional to 750.97, 1,125.50 and 653.06 is: 978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.97 : 1,125.50 = 653.06 : x
  2. Step 2: Convert to fraction form
    750.97/1,125.50 = 653.06/x
  3. Step 3: Cross multiply
    750.97x = 1,125.50 × 653.06
  4. Step 4: Simplify right side
    750.97x = 735,018.58
  5. Step 5: Solve for x
    x = 735,018.58/750.97
  6. Step 6: Final answer
    x = 978.76

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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.