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Finding the Fourth Proportional to 1,569.36, 2,354.07 and 415.14

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Solution

The fourth proportional to 1,569.36, 2,354.07 and 415.14 is: 622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.36 : 2,354.07 = 415.14 : x
  2. Step 2: Convert to fraction form
    1,569.36/2,354.07 = 415.14/x
  3. Step 3: Cross multiply
    1,569.36x = 2,354.07 × 415.14
  4. Step 4: Simplify right side
    1,569.36x = 977,268.62
  5. Step 5: Solve for x
    x = 977,268.62/1,569.36
  6. Step 6: Final answer
    x = 622.72

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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.