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Finding the Fourth Proportional to 1,161.52, 1,742.40 and 584.32

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Solution

The fourth proportional to 1,161.52, 1,742.40 and 584.32 is: 876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.52 : 1,742.40 = 584.32 : x
  2. Step 2: Convert to fraction form
    1,161.52/1,742.40 = 584.32/x
  3. Step 3: Cross multiply
    1,161.52x = 1,742.40 × 584.32
  4. Step 4: Simplify right side
    1,161.52x = 1,018,119.17
  5. Step 5: Solve for x
    x = 1,018,119.17/1,161.52
  6. Step 6: Final answer
    x = 876.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.