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Finding the Fourth Proportional to 882.39, 1,218.32 and 826.57

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Solution

The fourth proportional to 882.39, 1,218.32 and 826.57 is: 1,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.39 : 1,218.32 = 826.57 : x
  2. Step 2: Convert to fraction form
    882.39/1,218.32 = 826.57/x
  3. Step 3: Cross multiply
    882.39x = 1,218.32 × 826.57
  4. Step 4: Simplify right side
    882.39x = 1,007,031.90
  5. Step 5: Solve for x
    x = 1,007,031.90/882.39
  6. Step 6: Final answer
    x = 1,141.25

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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.