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Finding the Fourth Proportional to 1,568.35, 2,352.90 and 472.72

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Solution

The fourth proportional to 1,568.35, 2,352.90 and 472.72 is: 709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.35 : 2,352.90 = 472.72 : x
  2. Step 2: Convert to fraction form
    1,568.35/2,352.90 = 472.72/x
  3. Step 3: Cross multiply
    1,568.35x = 2,352.90 × 472.72
  4. Step 4: Simplify right side
    1,568.35x = 1,112,262.89
  5. Step 5: Solve for x
    x = 1,112,262.89/1,568.35
  6. Step 6: Final answer
    x = 709.19

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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.