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Finding the Fourth Proportional to 704.42, 1,057.55 and 565.67

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Solution

The fourth proportional to 704.42, 1,057.55 and 565.67 is: 849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.42 : 1,057.55 = 565.67 : x
  2. Step 2: Convert to fraction form
    704.42/1,057.55 = 565.67/x
  3. Step 3: Cross multiply
    704.42x = 1,057.55 × 565.67
  4. Step 4: Simplify right side
    704.42x = 598,224.31
  5. Step 5: Solve for x
    x = 598,224.31/704.42
  6. Step 6: Final answer
    x = 849.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.