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Finding the Fourth Proportional to 750.16, 1,125.65 and 709.12

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Solution

The fourth proportional to 750.16, 1,125.65 and 709.12 is: 1,064.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.16 : 1,125.65 = 709.12 : x
  2. Step 2: Convert to fraction form
    750.16/1,125.65 = 709.12/x
  3. Step 3: Cross multiply
    750.16x = 1,125.65 × 709.12
  4. Step 4: Simplify right side
    750.16x = 798,220.93
  5. Step 5: Solve for x
    x = 798,220.93/750.16
  6. Step 6: Final answer
    x = 1,064.07

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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.