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Finding the Fourth Proportional to 1,169.46, 1,613.67 and 697.34

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Solution

The fourth proportional to 1,169.46, 1,613.67 and 697.34 is: 962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.46 : 1,613.67 = 697.34 : x
  2. Step 2: Convert to fraction form
    1,169.46/1,613.67 = 697.34/x
  3. Step 3: Cross multiply
    1,169.46x = 1,613.67 × 697.34
  4. Step 4: Simplify right side
    1,169.46x = 1,125,268.57
  5. Step 5: Solve for x
    x = 1,125,268.57/1,169.46
  6. Step 6: Final answer
    x = 962.21

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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.