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Finding the Fourth Proportional to 883.40, 1,218.66 and 588.76

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Solution

The fourth proportional to 883.40, 1,218.66 and 588.76 is: 812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.40 : 1,218.66 = 588.76 : x
  2. Step 2: Convert to fraction form
    883.40/1,218.66 = 588.76/x
  3. Step 3: Cross multiply
    883.40x = 1,218.66 × 588.76
  4. Step 4: Simplify right side
    883.40x = 717,498.26
  5. Step 5: Solve for x
    x = 717,498.26/883.40
  6. Step 6: Final answer
    x = 812.20

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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.