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Finding the Fourth Proportional to 733.90, 1,012.87 and 472.67

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Solution

The fourth proportional to 733.90, 1,012.87 and 472.67 is: 652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.90 : 1,012.87 = 472.67 : x
  2. Step 2: Convert to fraction form
    733.90/1,012.87 = 472.67/x
  3. Step 3: Cross multiply
    733.90x = 1,012.87 × 472.67
  4. Step 4: Simplify right side
    733.90x = 478,753.26
  5. Step 5: Solve for x
    x = 478,753.26/733.90
  6. Step 6: Final answer
    x = 652.34

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1.5x scale

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.