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Finding the Fourth Proportional to 725.35, 1,001.14 and 567.67

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Solution

The fourth proportional to 725.35, 1,001.14 and 567.67 is: 783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.35 : 1,001.14 = 567.67 : x
  2. Step 2: Convert to fraction form
    725.35/1,001.14 = 567.67/x
  3. Step 3: Cross multiply
    725.35x = 1,001.14 × 567.67
  4. Step 4: Simplify right side
    725.35x = 568,309.30
  5. Step 5: Solve for x
    x = 568,309.30/725.35
  6. Step 6: Final answer
    x = 783.50

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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.