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Finding the Fourth Proportional to 910.84, 1,258.60 and 648.40

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Solution

The fourth proportional to 910.84, 1,258.60 and 648.40 is: 895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.84 : 1,258.60 = 648.40 : x
  2. Step 2: Convert to fraction form
    910.84/1,258.60 = 648.40/x
  3. Step 3: Cross multiply
    910.84x = 1,258.60 × 648.40
  4. Step 4: Simplify right side
    910.84x = 816,069.95
  5. Step 5: Solve for x
    x = 816,069.95/910.84
  6. Step 6: Final answer
    x = 895.96

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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.