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Finding the Fourth Proportional to 1,568.84, 2,352.61 and 643.76

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Solution

The fourth proportional to 1,568.84, 2,352.61 and 643.76 is: 965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.84 : 2,352.61 = 643.76 : x
  2. Step 2: Convert to fraction form
    1,568.84/2,352.61 = 643.76/x
  3. Step 3: Cross multiply
    1,568.84x = 2,352.61 × 643.76
  4. Step 4: Simplify right side
    1,568.84x = 1,514,514.08
  5. Step 5: Solve for x
    x = 1,514,514.08/1,568.84
  6. Step 6: Final answer
    x = 965.37

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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.