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Finding the Fourth Proportional to 951.67, 1,312.26 and 619.48

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Solution

The fourth proportional to 951.67, 1,312.26 and 619.48 is: 854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.67 : 1,312.26 = 619.48 : x
  2. Step 2: Convert to fraction form
    951.67/1,312.26 = 619.48/x
  3. Step 3: Cross multiply
    951.67x = 1,312.26 × 619.48
  4. Step 4: Simplify right side
    951.67x = 812,918.82
  5. Step 5: Solve for x
    x = 812,918.82/951.67
  6. Step 6: Final answer
    x = 854.20

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Why These Related Problems?

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