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Finding the Fourth Proportional to 1,569.80, 2,353.94 and 473.96

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Solution

The fourth proportional to 1,569.80, 2,353.94 and 473.96 is: 710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.80 : 2,353.94 = 473.96 : x
  2. Step 2: Convert to fraction form
    1,569.80/2,353.94 = 473.96/x
  3. Step 3: Cross multiply
    1,569.80x = 2,353.94 × 473.96
  4. Step 4: Simplify right side
    1,569.80x = 1,115,673.40
  5. Step 5: Solve for x
    x = 1,115,673.40/1,569.80
  6. Step 6: Final answer
    x = 710.71

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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.