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Finding the Fourth Proportional to 1,468.94, 2,202.95 and 647.90

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Solution

The fourth proportional to 1,468.94, 2,202.95 and 647.90 is: 971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.94 : 2,202.95 = 647.90 : x
  2. Step 2: Convert to fraction form
    1,468.94/2,202.95 = 647.90/x
  3. Step 3: Cross multiply
    1,468.94x = 2,202.95 × 647.90
  4. Step 4: Simplify right side
    1,468.94x = 1,427,286.53
  5. Step 5: Solve for x
    x = 1,427,286.53/1,468.94
  6. Step 6: Final answer
    x = 971.65

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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.