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Finding the Fourth Proportional to 862.94, 1,293.20 and 497

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Solution

The fourth proportional to 862.94, 1,293.20 and 497 is: 744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.94 : 1,293.20 = 497 : x
  2. Step 2: Convert to fraction form
    862.94/1,293.20 = 497/x
  3. Step 3: Cross multiply
    862.94x = 1,293.20 × 497
  4. Step 4: Simplify right side
    862.94x = 642,720.40
  5. Step 5: Solve for x
    x = 642,720.40/862.94
  6. Step 6: Final answer
    x = 744.80

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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.