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Finding the Fourth Proportional to 1,569.29, 2,353.16 and 473.36

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Solution

The fourth proportional to 1,569.29, 2,353.16 and 473.36 is: 709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.29 : 2,353.16 = 473.36 : x
  2. Step 2: Convert to fraction form
    1,569.29/2,353.16 = 473.36/x
  3. Step 3: Cross multiply
    1,569.29x = 2,353.16 × 473.36
  4. Step 4: Simplify right side
    1,569.29x = 1,113,877.69
  5. Step 5: Solve for x
    x = 1,113,877.69/1,569.29
  6. Step 6: Final answer
    x = 709.80

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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.