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Finding the Fourth Proportional to 1,257.15, 1,734.86 and 689.98

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Solution

The fourth proportional to 1,257.15, 1,734.86 and 689.98 is: 952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.15 : 1,734.86 = 689.98 : x
  2. Step 2: Convert to fraction form
    1,257.15/1,734.86 = 689.98/x
  3. Step 3: Cross multiply
    1,257.15x = 1,734.86 × 689.98
  4. Step 4: Simplify right side
    1,257.15x = 1,197,018.70
  5. Step 5: Solve for x
    x = 1,197,018.70/1,257.15
  6. Step 6: Final answer
    x = 952.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.