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Finding the Fourth Proportional to 839.75, 1,159.95 and 645.66

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Solution

The fourth proportional to 839.75, 1,159.95 and 645.66 is: 891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.75 : 1,159.95 = 645.66 : x
  2. Step 2: Convert to fraction form
    839.75/1,159.95 = 645.66/x
  3. Step 3: Cross multiply
    839.75x = 1,159.95 × 645.66
  4. Step 4: Simplify right side
    839.75x = 748,933.32
  5. Step 5: Solve for x
    x = 748,933.32/839.75
  6. Step 6: Final answer
    x = 891.86

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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.