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Finding the Fourth Proportional to 637.62, 954.96 and 559.77

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Solution

The fourth proportional to 637.62, 954.96 and 559.77 is: 838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.62 : 954.96 = 559.77 : x
  2. Step 2: Convert to fraction form
    637.62/954.96 = 559.77/x
  3. Step 3: Cross multiply
    637.62x = 954.96 × 559.77
  4. Step 4: Simplify right side
    637.62x = 534,557.96
  5. Step 5: Solve for x
    x = 534,557.96/637.62
  6. Step 6: Final answer
    x = 838.36

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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.