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Finding the Fourth Proportional to 977.67, 1,464.44 and 910.25

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Solution

The fourth proportional to 977.67, 1,464.44 and 910.25 is: 1,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.67 : 1,464.44 = 910.25 : x
  2. Step 2: Convert to fraction form
    977.67/1,464.44 = 910.25/x
  3. Step 3: Cross multiply
    977.67x = 1,464.44 × 910.25
  4. Step 4: Simplify right side
    977.67x = 1,332,994.64
  5. Step 5: Solve for x
    x = 1,332,994.64/977.67
  6. Step 6: Final answer
    x = 1,363.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.