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Finding the Fourth Proportional to 1,068.48, 1,602.45 and 721.62

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Solution

The fourth proportional to 1,068.48, 1,602.45 and 721.62 is: 1,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.48 : 1,602.45 = 721.62 : x
  2. Step 2: Convert to fraction form
    1,068.48/1,602.45 = 721.62/x
  3. Step 3: Cross multiply
    1,068.48x = 1,602.45 × 721.62
  4. Step 4: Simplify right side
    1,068.48x = 1,156,359.97
  5. Step 5: Solve for x
    x = 1,156,359.97/1,068.48
  6. Step 6: Final answer
    x = 1,082.25

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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.