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Finding the Fourth Proportional to 1,568.80, 2,352.44 and 472.96

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Solution

The fourth proportional to 1,568.80, 2,352.44 and 472.96 is: 709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.80 : 2,352.44 = 472.96 : x
  2. Step 2: Convert to fraction form
    1,568.80/2,352.44 = 472.96/x
  3. Step 3: Cross multiply
    1,568.80x = 2,352.44 × 472.96
  4. Step 4: Simplify right side
    1,568.80x = 1,112,610.02
  5. Step 5: Solve for x
    x = 1,112,610.02/1,568.80
  6. Step 6: Final answer
    x = 709.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.