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Finding the Fourth Proportional to 861.67, 1,291.74 and 428.50

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Solution

The fourth proportional to 861.67, 1,291.74 and 428.50 is: 642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.67 : 1,291.74 = 428.50 : x
  2. Step 2: Convert to fraction form
    861.67/1,291.74 = 428.50/x
  3. Step 3: Cross multiply
    861.67x = 1,291.74 × 428.50
  4. Step 4: Simplify right side
    861.67x = 553,510.59
  5. Step 5: Solve for x
    x = 553,510.59/861.67
  6. Step 6: Final answer
    x = 642.37

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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.