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Finding the Fourth Proportional to 862.81, 1,190.71 and 531.35

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Solution

The fourth proportional to 862.81, 1,190.71 and 531.35 is: 733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.81 : 1,190.71 = 531.35 : x
  2. Step 2: Convert to fraction form
    862.81/1,190.71 = 531.35/x
  3. Step 3: Cross multiply
    862.81x = 1,190.71 × 531.35
  4. Step 4: Simplify right side
    862.81x = 632,683.76
  5. Step 5: Solve for x
    x = 632,683.76/862.81
  6. Step 6: Final answer
    x = 733.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.