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Finding the Fourth Proportional to 1,569.78, 2,352.78 and 644.09

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Solution

The fourth proportional to 1,569.78, 2,352.78 and 644.09 is: 965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.78 : 2,352.78 = 644.09 : x
  2. Step 2: Convert to fraction form
    1,569.78/2,352.78 = 644.09/x
  3. Step 3: Cross multiply
    1,569.78x = 2,352.78 × 644.09
  4. Step 4: Simplify right side
    1,569.78x = 1,515,390.31
  5. Step 5: Solve for x
    x = 1,515,390.31/1,569.78
  6. Step 6: Final answer
    x = 965.35

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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.