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Finding the Fourth Proportional to 1,093.84, 1,638.64 and 977.82

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Solution

The fourth proportional to 1,093.84, 1,638.64 and 977.82 is: 1,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.84 : 1,638.64 = 977.82 : x
  2. Step 2: Convert to fraction form
    1,093.84/1,638.64 = 977.82/x
  3. Step 3: Cross multiply
    1,093.84x = 1,638.64 × 977.82
  4. Step 4: Simplify right side
    1,093.84x = 1,602,294.96
  5. Step 5: Solve for x
    x = 1,602,294.96/1,093.84
  6. Step 6: Final answer
    x = 1,464.83

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Why These Related Problems?

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