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Finding the Fourth Proportional to 917.16, 1,257.42 and 900.78

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Solution

The fourth proportional to 917.16, 1,257.42 and 900.78 is: 1,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.16 : 1,257.42 = 900.78 : x
  2. Step 2: Convert to fraction form
    917.16/1,257.42 = 900.78/x
  3. Step 3: Cross multiply
    917.16x = 1,257.42 × 900.78
  4. Step 4: Simplify right side
    917.16x = 1,132,658.79
  5. Step 5: Solve for x
    x = 1,132,658.79/917.16
  6. Step 6: Final answer
    x = 1,234.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.