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Finding the Fourth Proportional to 951.09, 1,424.75 and 586.59

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Solution

The fourth proportional to 951.09, 1,424.75 and 586.59 is: 878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.09 : 1,424.75 = 586.59 : x
  2. Step 2: Convert to fraction form
    951.09/1,424.75 = 586.59/x
  3. Step 3: Cross multiply
    951.09x = 1,424.75 × 586.59
  4. Step 4: Simplify right side
    951.09x = 835,741.17
  5. Step 5: Solve for x
    x = 835,741.17/951.09
  6. Step 6: Final answer
    x = 878.72

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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.