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Finding the Fourth Proportional to 750.74, 1,125.09 and 647.33

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Solution

The fourth proportional to 750.74, 1,125.09 and 647.33 is: 970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.74 : 1,125.09 = 647.33 : x
  2. Step 2: Convert to fraction form
    750.74/1,125.09 = 647.33/x
  3. Step 3: Cross multiply
    750.74x = 1,125.09 × 647.33
  4. Step 4: Simplify right side
    750.74x = 728,298.88
  5. Step 5: Solve for x
    x = 728,298.88/750.74
  6. Step 6: Final answer
    x = 970.11

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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.