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Finding the Fourth Proportional to 974.88, 1,462.70 and 590.40

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Solution

The fourth proportional to 974.88, 1,462.70 and 590.40 is: 885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.88 : 1,462.70 = 590.40 : x
  2. Step 2: Convert to fraction form
    974.88/1,462.70 = 590.40/x
  3. Step 3: Cross multiply
    974.88x = 1,462.70 × 590.40
  4. Step 4: Simplify right side
    974.88x = 863,578.08
  5. Step 5: Solve for x
    x = 863,578.08/974.88
  6. Step 6: Final answer
    x = 885.83

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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.