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Finding the Fourth Proportional to 1,111.42, 1,666.20 and 699.54

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Solution

The fourth proportional to 1,111.42, 1,666.20 and 699.54 is: 1,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.42 : 1,666.20 = 699.54 : x
  2. Step 2: Convert to fraction form
    1,111.42/1,666.20 = 699.54/x
  3. Step 3: Cross multiply
    1,111.42x = 1,666.20 × 699.54
  4. Step 4: Simplify right side
    1,111.42x = 1,165,573.55
  5. Step 5: Solve for x
    x = 1,165,573.55/1,111.42
  6. Step 6: Final answer
    x = 1,048.72

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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.