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Finding the Fourth Proportional to 1,045.72, 1,566.42 and 814.36

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Solution

The fourth proportional to 1,045.72, 1,566.42 and 814.36 is: 1,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.72 : 1,566.42 = 814.36 : x
  2. Step 2: Convert to fraction form
    1,045.72/1,566.42 = 814.36/x
  3. Step 3: Cross multiply
    1,045.72x = 1,566.42 × 814.36
  4. Step 4: Simplify right side
    1,045.72x = 1,275,629.79
  5. Step 5: Solve for x
    x = 1,275,629.79/1,045.72
  6. Step 6: Final answer
    x = 1,219.86

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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.