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Finding the Fourth Proportional to 1,713.40, 2,568.54 and 617.50

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Solution

The fourth proportional to 1,713.40, 2,568.54 and 617.50 is: 925.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.40 : 2,568.54 = 617.50 : x
  2. Step 2: Convert to fraction form
    1,713.40/2,568.54 = 617.50/x
  3. Step 3: Cross multiply
    1,713.40x = 2,568.54 × 617.50
  4. Step 4: Simplify right side
    1,713.40x = 1,586,073.45
  5. Step 5: Solve for x
    x = 1,586,073.45/1,713.40
  6. Step 6: Final answer
    x = 925.69

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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.