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Finding the Fourth Proportional to 1,045.27, 1,442.49 and 573.21

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Solution

The fourth proportional to 1,045.27, 1,442.49 and 573.21 is: 791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.27 : 1,442.49 = 573.21 : x
  2. Step 2: Convert to fraction form
    1,045.27/1,442.49 = 573.21/x
  3. Step 3: Cross multiply
    1,045.27x = 1,442.49 × 573.21
  4. Step 4: Simplify right side
    1,045.27x = 826,852.12
  5. Step 5: Solve for x
    x = 826,852.12/1,045.27
  6. Step 6: Final answer
    x = 791.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.