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Finding the Fourth Proportional to 1,707.61, 2,560.78 and 537.43

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Solution

The fourth proportional to 1,707.61, 2,560.78 and 537.43 is: 805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.61 : 2,560.78 = 537.43 : x
  2. Step 2: Convert to fraction form
    1,707.61/2,560.78 = 537.43/x
  3. Step 3: Cross multiply
    1,707.61x = 2,560.78 × 537.43
  4. Step 4: Simplify right side
    1,707.61x = 1,376,240.00
  5. Step 5: Solve for x
    x = 1,376,240.00/1,707.61
  6. Step 6: Final answer
    x = 805.95

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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.