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Finding the Fourth Proportional to 1,161.66, 1,603.14 and 637.70

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Solution

The fourth proportional to 1,161.66, 1,603.14 and 637.70 is: 880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.66 : 1,603.14 = 637.70 : x
  2. Step 2: Convert to fraction form
    1,161.66/1,603.14 = 637.70/x
  3. Step 3: Cross multiply
    1,161.66x = 1,603.14 × 637.70
  4. Step 4: Simplify right side
    1,161.66x = 1,022,314.36
  5. Step 5: Solve for x
    x = 1,022,314.36/1,161.66
  6. Step 6: Final answer
    x = 880.05

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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.