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Finding the Fourth Proportional to 750.69, 1,034.46 and 698.82

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Solution

The fourth proportional to 750.69, 1,034.46 and 698.82 is: 962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.69 : 1,034.46 = 698.82 : x
  2. Step 2: Convert to fraction form
    750.69/1,034.46 = 698.82/x
  3. Step 3: Cross multiply
    750.69x = 1,034.46 × 698.82
  4. Step 4: Simplify right side
    750.69x = 722,901.34
  5. Step 5: Solve for x
    x = 722,901.34/750.69
  6. Step 6: Final answer
    x = 962.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.