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Finding the Fourth Proportional to 1,257.17, 1,734.89 and 697.65

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Solution

The fourth proportional to 1,257.17, 1,734.89 and 697.65 is: 962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.17 : 1,734.89 = 697.65 : x
  2. Step 2: Convert to fraction form
    1,257.17/1,734.89 = 697.65/x
  3. Step 3: Cross multiply
    1,257.17x = 1,734.89 × 697.65
  4. Step 4: Simplify right side
    1,257.17x = 1,210,341.90
  5. Step 5: Solve for x
    x = 1,210,341.90/1,257.17
  6. Step 6: Final answer
    x = 962.75

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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.