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Finding the Fourth Proportional to 1,161.12, 1,740.62 and 467.66

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Solution

The fourth proportional to 1,161.12, 1,740.62 and 467.66 is: 701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.12 : 1,740.62 = 467.66 : x
  2. Step 2: Convert to fraction form
    1,161.12/1,740.62 = 467.66/x
  3. Step 3: Cross multiply
    1,161.12x = 1,740.62 × 467.66
  4. Step 4: Simplify right side
    1,161.12x = 814,018.35
  5. Step 5: Solve for x
    x = 814,018.35/1,161.12
  6. Step 6: Final answer
    x = 701.06

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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.