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Finding the Fourth Proportional to 1,569.36, 2,353.77 and 473.97

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Solution

The fourth proportional to 1,569.36, 2,353.77 and 473.97 is: 710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.36 : 2,353.77 = 473.97 : x
  2. Step 2: Convert to fraction form
    1,569.36/2,353.77 = 473.97/x
  3. Step 3: Cross multiply
    1,569.36x = 2,353.77 × 473.97
  4. Step 4: Simplify right side
    1,569.36x = 1,115,616.37
  5. Step 5: Solve for x
    x = 1,115,616.37/1,569.36
  6. Step 6: Final answer
    x = 710.87

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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.