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Finding the Fourth Proportional to 750.66, 1,124.55 and 689.46

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Solution

The fourth proportional to 750.66, 1,124.55 and 689.46 is: 1,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.66 : 1,124.55 = 689.46 : x
  2. Step 2: Convert to fraction form
    750.66/1,124.55 = 689.46/x
  3. Step 3: Cross multiply
    750.66x = 1,124.55 × 689.46
  4. Step 4: Simplify right side
    750.66x = 775,332.24
  5. Step 5: Solve for x
    x = 775,332.24/750.66
  6. Step 6: Final answer
    x = 1,032.87

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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.