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Finding the Fourth Proportional to 862.21, 1,290.23 and 747.06

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Solution

The fourth proportional to 862.21, 1,290.23 and 747.06 is: 1,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.21 : 1,290.23 = 747.06 : x
  2. Step 2: Convert to fraction form
    862.21/1,290.23 = 747.06/x
  3. Step 3: Cross multiply
    862.21x = 1,290.23 × 747.06
  4. Step 4: Simplify right side
    862.21x = 963,879.22
  5. Step 5: Solve for x
    x = 963,879.22/862.21
  6. Step 6: Final answer
    x = 1,117.92

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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.