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Finding the Fourth Proportional to 983.01, 1,474.18 and 520.53

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Solution

The fourth proportional to 983.01, 1,474.18 and 520.53 is: 780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.01 : 1,474.18 = 520.53 : x
  2. Step 2: Convert to fraction form
    983.01/1,474.18 = 520.53/x
  3. Step 3: Cross multiply
    983.01x = 1,474.18 × 520.53
  4. Step 4: Simplify right side
    983.01x = 767,354.92
  5. Step 5: Solve for x
    x = 767,354.92/983.01
  6. Step 6: Final answer
    x = 780.62

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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.