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Finding the Fourth Proportional to 1,468.98, 2,203.85 and 647.41

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Solution

The fourth proportional to 1,468.98, 2,203.85 and 647.41 is: 971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.98 : 2,203.85 = 647.41 : x
  2. Step 2: Convert to fraction form
    1,468.98/2,203.85 = 647.41/x
  3. Step 3: Cross multiply
    1,468.98x = 2,203.85 × 647.41
  4. Step 4: Simplify right side
    1,468.98x = 1,426,794.53
  5. Step 5: Solve for x
    x = 1,426,794.53/1,468.98
  6. Step 6: Final answer
    x = 971.28

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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.