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Finding the Fourth Proportional to 732.34, 1,010.82 and 483.67

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Solution

The fourth proportional to 732.34, 1,010.82 and 483.67 is: 667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.34 : 1,010.82 = 483.67 : x
  2. Step 2: Convert to fraction form
    732.34/1,010.82 = 483.67/x
  3. Step 3: Cross multiply
    732.34x = 1,010.82 × 483.67
  4. Step 4: Simplify right side
    732.34x = 488,903.31
  5. Step 5: Solve for x
    x = 488,903.31/732.34
  6. Step 6: Final answer
    x = 667.59

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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.