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Finding the Fourth Proportional to 713.52, 1,065.78 and 632.88

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Solution

The fourth proportional to 713.52, 1,065.78 and 632.88 is: 945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.52 : 1,065.78 = 632.88 : x
  2. Step 2: Convert to fraction form
    713.52/1,065.78 = 632.88/x
  3. Step 3: Cross multiply
    713.52x = 1,065.78 × 632.88
  4. Step 4: Simplify right side
    713.52x = 674,510.85
  5. Step 5: Solve for x
    x = 674,510.85/713.52
  6. Step 6: Final answer
    x = 945.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.