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Finding the Fourth Proportional to 1,569.19, 2,353.78 and 645.25

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Solution

The fourth proportional to 1,569.19, 2,353.78 and 645.25 is: 967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.19 : 2,353.78 = 645.25 : x
  2. Step 2: Convert to fraction form
    1,569.19/2,353.78 = 645.25/x
  3. Step 3: Cross multiply
    1,569.19x = 2,353.78 × 645.25
  4. Step 4: Simplify right side
    1,569.19x = 1,518,771.47
  5. Step 5: Solve for x
    x = 1,518,771.47/1,569.19
  6. Step 6: Final answer
    x = 967.87

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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.