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Finding the Fourth Proportional to 1,568.54, 2,352.71 and 472.91

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Solution

The fourth proportional to 1,568.54, 2,352.71 and 472.91 is: 709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.54 : 2,352.71 = 472.91 : x
  2. Step 2: Convert to fraction form
    1,568.54/2,352.71 = 472.91/x
  3. Step 3: Cross multiply
    1,568.54x = 2,352.71 × 472.91
  4. Step 4: Simplify right side
    1,568.54x = 1,112,623.60
  5. Step 5: Solve for x
    x = 1,112,623.60/1,568.54
  6. Step 6: Final answer
    x = 709.34

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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.