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Finding the Fourth Proportional to 1,161.87, 1,603.53 and 713.82

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Solution

The fourth proportional to 1,161.87, 1,603.53 and 713.82 is: 985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.87 : 1,603.53 = 713.82 : x
  2. Step 2: Convert to fraction form
    1,161.87/1,603.53 = 713.82/x
  3. Step 3: Cross multiply
    1,161.87x = 1,603.53 × 713.82
  4. Step 4: Simplify right side
    1,161.87x = 1,144,631.78
  5. Step 5: Solve for x
    x = 1,144,631.78/1,161.87
  6. Step 6: Final answer
    x = 985.16

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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.