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Finding the Fourth Proportional to 1,569.02, 2,353.75 and 473.26

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Solution

The fourth proportional to 1,569.02, 2,353.75 and 473.26 is: 709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.02 : 2,353.75 = 473.26 : x
  2. Step 2: Convert to fraction form
    1,569.02/2,353.75 = 473.26/x
  3. Step 3: Cross multiply
    1,569.02x = 2,353.75 × 473.26
  4. Step 4: Simplify right side
    1,569.02x = 1,113,935.73
  5. Step 5: Solve for x
    x = 1,113,935.73/1,569.02
  6. Step 6: Final answer
    x = 709.96

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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.