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Finding the Fourth Proportional to 951.33, 1,312.80 and 531.66

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Solution

The fourth proportional to 951.33, 1,312.80 and 531.66 is: 733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.33 : 1,312.80 = 531.66 : x
  2. Step 2: Convert to fraction form
    951.33/1,312.80 = 531.66/x
  3. Step 3: Cross multiply
    951.33x = 1,312.80 × 531.66
  4. Step 4: Simplify right side
    951.33x = 697,963.25
  5. Step 5: Solve for x
    x = 697,963.25/951.33
  6. Step 6: Final answer
    x = 733.67

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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.