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Finding the Fourth Proportional to 1,187.66, 1,782.06 and 457.22

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Solution

The fourth proportional to 1,187.66, 1,782.06 and 457.22 is: 686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.66 : 1,782.06 = 457.22 : x
  2. Step 2: Convert to fraction form
    1,187.66/1,782.06 = 457.22/x
  3. Step 3: Cross multiply
    1,187.66x = 1,782.06 × 457.22
  4. Step 4: Simplify right side
    1,187.66x = 814,793.47
  5. Step 5: Solve for x
    x = 814,793.47/1,187.66
  6. Step 6: Final answer
    x = 686.05

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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.