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Finding the Fourth Proportional to 1,712.95, 2,568.49 and 602.08

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Solution

The fourth proportional to 1,712.95, 2,568.49 and 602.08 is: 902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.95 : 2,568.49 = 602.08 : x
  2. Step 2: Convert to fraction form
    1,712.95/2,568.49 = 602.08/x
  3. Step 3: Cross multiply
    1,712.95x = 2,568.49 × 602.08
  4. Step 4: Simplify right side
    1,712.95x = 1,546,431.54
  5. Step 5: Solve for x
    x = 1,546,431.54/1,712.95
  6. Step 6: Final answer
    x = 902.79

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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.