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Finding the Fourth Proportional to 974.40, 1,459.20 and 460.80

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Solution

The fourth proportional to 974.40, 1,459.20 and 460.80 is: 690.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.40 : 1,459.20 = 460.80 : x
  2. Step 2: Convert to fraction form
    974.40/1,459.20 = 460.80/x
  3. Step 3: Cross multiply
    974.40x = 1,459.20 × 460.80
  4. Step 4: Simplify right side
    974.40x = 672,399.36
  5. Step 5: Solve for x
    x = 672,399.36/974.40
  6. Step 6: Final answer
    x = 690.07

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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.