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Finding the Fourth Proportional to 1,713.42, 2,570.49 and 617.76

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Solution

The fourth proportional to 1,713.42, 2,570.49 and 617.76 is: 926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.42 : 2,570.49 = 617.76 : x
  2. Step 2: Convert to fraction form
    1,713.42/2,570.49 = 617.76/x
  3. Step 3: Cross multiply
    1,713.42x = 2,570.49 × 617.76
  4. Step 4: Simplify right side
    1,713.42x = 1,587,945.90
  5. Step 5: Solve for x
    x = 1,587,945.90/1,713.42
  6. Step 6: Final answer
    x = 926.77

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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.