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Finding the Fourth Proportional to 588.61, 877.73 and 583.34

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Solution

The fourth proportional to 588.61, 877.73 and 583.34 is: 869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.61 : 877.73 = 583.34 : x
  2. Step 2: Convert to fraction form
    588.61/877.73 = 583.34/x
  3. Step 3: Cross multiply
    588.61x = 877.73 × 583.34
  4. Step 4: Simplify right side
    588.61x = 512,015.02
  5. Step 5: Solve for x
    x = 512,015.02/588.61
  6. Step 6: Final answer
    x = 869.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.