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Finding the Fourth Proportional to 862.05, 1,293.48 and 497.15

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Solution

The fourth proportional to 862.05, 1,293.48 and 497.15 is: 745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.05 : 1,293.48 = 497.15 : x
  2. Step 2: Convert to fraction form
    862.05/1,293.48 = 497.15/x
  3. Step 3: Cross multiply
    862.05x = 1,293.48 × 497.15
  4. Step 4: Simplify right side
    862.05x = 643,047.11
  5. Step 5: Solve for x
    x = 643,047.11/862.05
  6. Step 6: Final answer
    x = 745.95

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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.