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Finding the Fourth Proportional to 862.24, 1,292.40 and 476.80

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Solution

The fourth proportional to 862.24, 1,292.40 and 476.80 is: 714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.24 : 1,292.40 = 476.80 : x
  2. Step 2: Convert to fraction form
    862.24/1,292.40 = 476.80/x
  3. Step 3: Cross multiply
    862.24x = 1,292.40 × 476.80
  4. Step 4: Simplify right side
    862.24x = 616,216.32
  5. Step 5: Solve for x
    x = 616,216.32/862.24
  6. Step 6: Final answer
    x = 714.67

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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.