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Finding the Fourth Proportional to 862.65, 1,291.92 and 472.07

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Solution

The fourth proportional to 862.65, 1,291.92 and 472.07 is: 706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.65 : 1,291.92 = 472.07 : x
  2. Step 2: Convert to fraction form
    862.65/1,291.92 = 472.07/x
  3. Step 3: Cross multiply
    862.65x = 1,291.92 × 472.07
  4. Step 4: Simplify right side
    862.65x = 609,870.21
  5. Step 5: Solve for x
    x = 609,870.21/862.65
  6. Step 6: Final answer
    x = 706.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.