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Finding the Fourth Proportional to 795.70, 1,195.38 and 565.16

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Solution

The fourth proportional to 795.70, 1,195.38 and 565.16 is: 849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.70 : 1,195.38 = 565.16 : x
  2. Step 2: Convert to fraction form
    795.70/1,195.38 = 565.16/x
  3. Step 3: Cross multiply
    795.70x = 1,195.38 × 565.16
  4. Step 4: Simplify right side
    795.70x = 675,580.96
  5. Step 5: Solve for x
    x = 675,580.96/795.70
  6. Step 6: Final answer
    x = 849.04

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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.