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Finding the Fourth Proportional to 974.25, 1,459.03 and 534.84

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Solution

The fourth proportional to 974.25, 1,459.03 and 534.84 is: 800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.25 : 1,459.03 = 534.84 : x
  2. Step 2: Convert to fraction form
    974.25/1,459.03 = 534.84/x
  3. Step 3: Cross multiply
    974.25x = 1,459.03 × 534.84
  4. Step 4: Simplify right side
    974.25x = 780,347.61
  5. Step 5: Solve for x
    x = 780,347.61/974.25
  6. Step 6: Final answer
    x = 800.97

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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.