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Finding the Fourth Proportional to 594.59, 825.47 and 576.77

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Solution

The fourth proportional to 594.59, 825.47 and 576.77 is: 800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.59 : 825.47 = 576.77 : x
  2. Step 2: Convert to fraction form
    594.59/825.47 = 576.77/x
  3. Step 3: Cross multiply
    594.59x = 825.47 × 576.77
  4. Step 4: Simplify right side
    594.59x = 476,101.48
  5. Step 5: Solve for x
    x = 476,101.48/594.59
  6. Step 6: Final answer
    x = 800.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.