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Finding the Fourth Proportional to 1,712.64, 2,570.16 and 789.24

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Solution

The fourth proportional to 1,712.64, 2,570.16 and 789.24 is: 1,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.64 : 2,570.16 = 789.24 : x
  2. Step 2: Convert to fraction form
    1,712.64/2,570.16 = 789.24/x
  3. Step 3: Cross multiply
    1,712.64x = 2,570.16 × 789.24
  4. Step 4: Simplify right side
    1,712.64x = 2,028,473.08
  5. Step 5: Solve for x
    x = 2,028,473.08/1,712.64
  6. Step 6: Final answer
    x = 1,184.41

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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.