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Finding the Fourth Proportional to 862.99, 1,292.41 and 472.40

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Solution

The fourth proportional to 862.99, 1,292.41 and 472.40 is: 707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.99 : 1,292.41 = 472.40 : x
  2. Step 2: Convert to fraction form
    862.99/1,292.41 = 472.40/x
  3. Step 3: Cross multiply
    862.99x = 1,292.41 × 472.40
  4. Step 4: Simplify right side
    862.99x = 610,534.48
  5. Step 5: Solve for x
    x = 610,534.48/862.99
  6. Step 6: Final answer
    x = 707.46

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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.