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Finding the Fourth Proportional to 637.85, 880.07 and 505.10

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Solution

The fourth proportional to 637.85, 880.07 and 505.10 is: 696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.85 : 880.07 = 505.10 : x
  2. Step 2: Convert to fraction form
    637.85/880.07 = 505.10/x
  3. Step 3: Cross multiply
    637.85x = 880.07 × 505.10
  4. Step 4: Simplify right side
    637.85x = 444,523.03
  5. Step 5: Solve for x
    x = 444,523.03/637.85
  6. Step 6: Final answer
    x = 696.91

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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.