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Finding the Fourth Proportional to 830.73, 1,244.92 and 460.70

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Solution

The fourth proportional to 830.73, 1,244.92 and 460.70 is: 690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.73 : 1,244.92 = 460.70 : x
  2. Step 2: Convert to fraction form
    830.73/1,244.92 = 460.70/x
  3. Step 3: Cross multiply
    830.73x = 1,244.92 × 460.70
  4. Step 4: Simplify right side
    830.73x = 573,534.65
  5. Step 5: Solve for x
    x = 573,534.65/830.73
  6. Step 6: Final answer
    x = 690.40

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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.