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Finding the Fourth Proportional to 1,363.98, 1,883.07 and 910.10

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Solution

The fourth proportional to 1,363.98, 1,883.07 and 910.10 is: 1,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.98 : 1,883.07 = 910.10 : x
  2. Step 2: Convert to fraction form
    1,363.98/1,883.07 = 910.10/x
  3. Step 3: Cross multiply
    1,363.98x = 1,883.07 × 910.10
  4. Step 4: Simplify right side
    1,363.98x = 1,713,772.59
  5. Step 5: Solve for x
    x = 1,713,772.59/1,363.98
  6. Step 6: Final answer
    x = 1,256.45

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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.