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Finding the Fourth Proportional to 883.88, 1,218.57 and 759

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Solution

The fourth proportional to 883.88, 1,218.57 and 759 is: 1,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.88 : 1,218.57 = 759 : x
  2. Step 2: Convert to fraction form
    883.88/1,218.57 = 759/x
  3. Step 3: Cross multiply
    883.88x = 1,218.57 × 759
  4. Step 4: Simplify right side
    883.88x = 924,894.63
  5. Step 5: Solve for x
    x = 924,894.63/883.88
  6. Step 6: Final answer
    x = 1,046.40

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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.