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Finding the Fourth Proportional to 583.99, 877.19 and 564.55

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Solution

The fourth proportional to 583.99, 877.19 and 564.55 is: 847.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.99 : 877.19 = 564.55 : x
  2. Step 2: Convert to fraction form
    583.99/877.19 = 564.55/x
  3. Step 3: Cross multiply
    583.99x = 877.19 × 564.55
  4. Step 4: Simplify right side
    583.99x = 495,217.61
  5. Step 5: Solve for x
    x = 495,217.61/583.99
  6. Step 6: Final answer
    x = 847.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.