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Finding the Fourth Proportional to 1,569.17, 2,353.75 and 473.84

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Solution

The fourth proportional to 1,569.17, 2,353.75 and 473.84 is: 710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.17 : 2,353.75 = 473.84 : x
  2. Step 2: Convert to fraction form
    1,569.17/2,353.75 = 473.84/x
  3. Step 3: Cross multiply
    1,569.17x = 2,353.75 × 473.84
  4. Step 4: Simplify right side
    1,569.17x = 1,115,300.90
  5. Step 5: Solve for x
    x = 1,115,300.90/1,569.17
  6. Step 6: Final answer
    x = 710.76

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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.