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Finding the Fourth Proportional to 1,569.03, 2,353.56 and 414.78

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Solution

The fourth proportional to 1,569.03, 2,353.56 and 414.78 is: 622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.03 : 2,353.56 = 414.78 : x
  2. Step 2: Convert to fraction form
    1,569.03/2,353.56 = 414.78/x
  3. Step 3: Cross multiply
    1,569.03x = 2,353.56 × 414.78
  4. Step 4: Simplify right side
    1,569.03x = 976,209.62
  5. Step 5: Solve for x
    x = 976,209.62/1,569.03
  6. Step 6: Final answer
    x = 622.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.