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Finding the Fourth Proportional to 1,569.27, 2,354.85 and 645.27

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Solution

The fourth proportional to 1,569.27, 2,354.85 and 645.27 is: 968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.27 : 2,354.85 = 645.27 : x
  2. Step 2: Convert to fraction form
    1,569.27/2,354.85 = 645.27/x
  3. Step 3: Cross multiply
    1,569.27x = 2,354.85 × 645.27
  4. Step 4: Simplify right side
    1,569.27x = 1,519,514.06
  5. Step 5: Solve for x
    x = 1,519,514.06/1,569.27
  6. Step 6: Final answer
    x = 968.29

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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.