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Finding the Fourth Proportional to 1,097.84, 1,638.27 and 981.02

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Solution

The fourth proportional to 1,097.84, 1,638.27 and 981.02 is: 1,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.84 : 1,638.27 = 981.02 : x
  2. Step 2: Convert to fraction form
    1,097.84/1,638.27 = 981.02/x
  3. Step 3: Cross multiply
    1,097.84x = 1,638.27 × 981.02
  4. Step 4: Simplify right side
    1,097.84x = 1,607,175.64
  5. Step 5: Solve for x
    x = 1,607,175.64/1,097.84
  6. Step 6: Final answer
    x = 1,463.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.