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Finding the Fourth Proportional to 905.41, 1,248.10 and 708.58

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Solution

The fourth proportional to 905.41, 1,248.10 and 708.58 is: 976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.41 : 1,248.10 = 708.58 : x
  2. Step 2: Convert to fraction form
    905.41/1,248.10 = 708.58/x
  3. Step 3: Cross multiply
    905.41x = 1,248.10 × 708.58
  4. Step 4: Simplify right side
    905.41x = 884,378.70
  5. Step 5: Solve for x
    x = 884,378.70/905.41
  6. Step 6: Final answer
    x = 976.77

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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.