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Finding the Fourth Proportional to 1,135.05, 1,565.99 and 637.62

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Solution

The fourth proportional to 1,135.05, 1,565.99 and 637.62 is: 879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.05 : 1,565.99 = 637.62 : x
  2. Step 2: Convert to fraction form
    1,135.05/1,565.99 = 637.62/x
  3. Step 3: Cross multiply
    1,135.05x = 1,565.99 × 637.62
  4. Step 4: Simplify right side
    1,135.05x = 998,506.54
  5. Step 5: Solve for x
    x = 998,506.54/1,135.05
  6. Step 6: Final answer
    x = 879.70

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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.