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Finding the Fourth Proportional to 1,161.84, 1,603.50 and 713.76

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Solution

The fourth proportional to 1,161.84, 1,603.50 and 713.76 is: 985.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.84 : 1,603.50 = 713.76 : x
  2. Step 2: Convert to fraction form
    1,161.84/1,603.50 = 713.76/x
  3. Step 3: Cross multiply
    1,161.84x = 1,603.50 × 713.76
  4. Step 4: Simplify right side
    1,161.84x = 1,144,514.16
  5. Step 5: Solve for x
    x = 1,144,514.16/1,161.84
  6. Step 6: Final answer
    x = 985.09

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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.