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Finding the Fourth Proportional to 883.29, 1,218.25 and 588.05

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Solution

The fourth proportional to 883.29, 1,218.25 and 588.05 is: 811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.29 : 1,218.25 = 588.05 : x
  2. Step 2: Convert to fraction form
    883.29/1,218.25 = 588.05/x
  3. Step 3: Cross multiply
    883.29x = 1,218.25 × 588.05
  4. Step 4: Simplify right side
    883.29x = 716,391.91
  5. Step 5: Solve for x
    x = 716,391.91/883.29
  6. Step 6: Final answer
    x = 811.05

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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.