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Finding the Fourth Proportional to 1,707.99, 2,560.50 and 734.73

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Solution

The fourth proportional to 1,707.99, 2,560.50 and 734.73 is: 1,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.99 : 2,560.50 = 734.73 : x
  2. Step 2: Convert to fraction form
    1,707.99/2,560.50 = 734.73/x
  3. Step 3: Cross multiply
    1,707.99x = 2,560.50 × 734.73
  4. Step 4: Simplify right side
    1,707.99x = 1,881,276.17
  5. Step 5: Solve for x
    x = 1,881,276.17/1,707.99
  6. Step 6: Final answer
    x = 1,101.46

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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.