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Finding the Fourth Proportional to 637.57, 880.02 and 598.85

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Solution

The fourth proportional to 637.57, 880.02 and 598.85 is: 826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.57 : 880.02 = 598.85 : x
  2. Step 2: Convert to fraction form
    637.57/880.02 = 598.85/x
  3. Step 3: Cross multiply
    637.57x = 880.02 × 598.85
  4. Step 4: Simplify right side
    637.57x = 526,999.98
  5. Step 5: Solve for x
    x = 526,999.98/637.57
  6. Step 6: Final answer
    x = 826.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.