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Finding the Fourth Proportional to 983.04, 1,474.88 and 765.76

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Solution

The fourth proportional to 983.04, 1,474.88 and 765.76 is: 1,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.04 : 1,474.88 = 765.76 : x
  2. Step 2: Convert to fraction form
    983.04/1,474.88 = 765.76/x
  3. Step 3: Cross multiply
    983.04x = 1,474.88 × 765.76
  4. Step 4: Simplify right side
    983.04x = 1,129,404.11
  5. Step 5: Solve for x
    x = 1,129,404.11/983.04
  6. Step 6: Final answer
    x = 1,148.89

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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.