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Finding the Fourth Proportional to 1,111.55, 1,666.76 and 495.45

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Solution

The fourth proportional to 1,111.55, 1,666.76 and 495.45 is: 742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.55 : 1,666.76 = 495.45 : x
  2. Step 2: Convert to fraction form
    1,111.55/1,666.76 = 495.45/x
  3. Step 3: Cross multiply
    1,111.55x = 1,666.76 × 495.45
  4. Step 4: Simplify right side
    1,111.55x = 825,793.76
  5. Step 5: Solve for x
    x = 825,793.76/1,111.55
  6. Step 6: Final answer
    x = 742.92

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