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Finding the Fourth Proportional to 1,161.58, 1,603.08 and 637.71

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Solution

The fourth proportional to 1,161.58, 1,603.08 and 637.71 is: 880.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.58 : 1,603.08 = 637.71 : x
  2. Step 2: Convert to fraction form
    1,161.58/1,603.08 = 637.71/x
  3. Step 3: Cross multiply
    1,161.58x = 1,603.08 × 637.71
  4. Step 4: Simplify right side
    1,161.58x = 1,022,300.15
  5. Step 5: Solve for x
    x = 1,022,300.15/1,161.58
  6. Step 6: Final answer
    x = 880.09

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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.