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Finding the Fourth Proportional to 753.30, 1,127.52 and 642.74

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Solution

The fourth proportional to 753.30, 1,127.52 and 642.74 is: 962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.30 : 1,127.52 = 642.74 : x
  2. Step 2: Convert to fraction form
    753.30/1,127.52 = 642.74/x
  3. Step 3: Cross multiply
    753.30x = 1,127.52 × 642.74
  4. Step 4: Simplify right side
    753.30x = 724,696.57
  5. Step 5: Solve for x
    x = 724,696.57/753.30
  6. Step 6: Final answer
    x = 962.03

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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.