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Finding the Fourth Proportional to 1,091.69, 1,506.50 and 637.53

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Solution

The fourth proportional to 1,091.69, 1,506.50 and 637.53 is: 879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.69 : 1,506.50 = 637.53 : x
  2. Step 2: Convert to fraction form
    1,091.69/1,506.50 = 637.53/x
  3. Step 3: Cross multiply
    1,091.69x = 1,506.50 × 637.53
  4. Step 4: Simplify right side
    1,091.69x = 960,438.95
  5. Step 5: Solve for x
    x = 960,438.95/1,091.69
  6. Step 6: Final answer
    x = 879.77

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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.