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Finding the Fourth Proportional to 1,187.76, 1,782.20 and 457.60

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Solution

The fourth proportional to 1,187.76, 1,782.20 and 457.60 is: 686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.76 : 1,782.20 = 457.60 : x
  2. Step 2: Convert to fraction form
    1,187.76/1,782.20 = 457.60/x
  3. Step 3: Cross multiply
    1,187.76x = 1,782.20 × 457.60
  4. Step 4: Simplify right side
    1,187.76x = 815,534.72
  5. Step 5: Solve for x
    x = 815,534.72/1,187.76
  6. Step 6: Final answer
    x = 686.62

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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.