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Finding the Fourth Proportional to 830.25, 1,243.85 and 463.92

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Solution

The fourth proportional to 830.25, 1,243.85 and 463.92 is: 695.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.25 : 1,243.85 = 463.92 : x
  2. Step 2: Convert to fraction form
    830.25/1,243.85 = 463.92/x
  3. Step 3: Cross multiply
    830.25x = 1,243.85 × 463.92
  4. Step 4: Simplify right side
    830.25x = 577,044.57
  5. Step 5: Solve for x
    x = 577,044.57/830.25
  6. Step 6: Final answer
    x = 695.03

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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.