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Finding the Fourth Proportional to 1,111.05, 1,665.42 and 452.65

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Solution

The fourth proportional to 1,111.05, 1,665.42 and 452.65 is: 678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.05 : 1,665.42 = 452.65 : x
  2. Step 2: Convert to fraction form
    1,111.05/1,665.42 = 452.65/x
  3. Step 3: Cross multiply
    1,111.05x = 1,665.42 × 452.65
  4. Step 4: Simplify right side
    1,111.05x = 753,849.90
  5. Step 5: Solve for x
    x = 753,849.90/1,111.05
  6. Step 6: Final answer
    x = 678.50

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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.