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Finding the Fourth Proportional to 1,161.64, 1,742.41 and 468.10

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Solution

The fourth proportional to 1,161.64, 1,742.41 and 468.10 is: 702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.64 : 1,742.41 = 468.10 : x
  2. Step 2: Convert to fraction form
    1,161.64/1,742.41 = 468.10/x
  3. Step 3: Cross multiply
    1,161.64x = 1,742.41 × 468.10
  4. Step 4: Simplify right side
    1,161.64x = 815,622.12
  5. Step 5: Solve for x
    x = 815,622.12/1,161.64
  6. Step 6: Final answer
    x = 702.13

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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.