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Finding the Fourth Proportional to 597.93, 892.87 and 563.76

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Solution

The fourth proportional to 597.93, 892.87 and 563.76 is: 841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.93 : 892.87 = 563.76 : x
  2. Step 2: Convert to fraction form
    597.93/892.87 = 563.76/x
  3. Step 3: Cross multiply
    597.93x = 892.87 × 563.76
  4. Step 4: Simplify right side
    597.93x = 503,366.15
  5. Step 5: Solve for x
    x = 503,366.15/597.93
  6. Step 6: Final answer
    x = 841.85

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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.