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Finding the Fourth Proportional to 974.53, 1,459.64 and 805.84

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Solution

The fourth proportional to 974.53, 1,459.64 and 805.84 is: 1,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.53 : 1,459.64 = 805.84 : x
  2. Step 2: Convert to fraction form
    974.53/1,459.64 = 805.84/x
  3. Step 3: Cross multiply
    974.53x = 1,459.64 × 805.84
  4. Step 4: Simplify right side
    974.53x = 1,176,236.30
  5. Step 5: Solve for x
    x = 1,176,236.30/974.53
  6. Step 6: Final answer
    x = 1,206.98

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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.