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Finding the Fourth Proportional to 598.88, 826.56 and 571.52

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Solution

The fourth proportional to 598.88, 826.56 and 571.52 is: 788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.88 : 826.56 = 571.52 : x
  2. Step 2: Convert to fraction form
    598.88/826.56 = 571.52/x
  3. Step 3: Cross multiply
    598.88x = 826.56 × 571.52
  4. Step 4: Simplify right side
    598.88x = 472,395.57
  5. Step 5: Solve for x
    x = 472,395.57/598.88
  6. Step 6: Final answer
    x = 788.80

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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.