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Finding the Fourth Proportional to 1,169.35, 1,613.72 and 645.34

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Solution

The fourth proportional to 1,169.35, 1,613.72 and 645.34 is: 890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.35 : 1,613.72 = 645.34 : x
  2. Step 2: Convert to fraction form
    1,169.35/1,613.72 = 645.34/x
  3. Step 3: Cross multiply
    1,169.35x = 1,613.72 × 645.34
  4. Step 4: Simplify right side
    1,169.35x = 1,041,398.06
  5. Step 5: Solve for x
    x = 1,041,398.06/1,169.35
  6. Step 6: Final answer
    x = 890.58

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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.