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Finding the Fourth Proportional to 1,087.78, 1,631.61 and 384.94

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Solution

The fourth proportional to 1,087.78, 1,631.61 and 384.94 is: 577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.78 : 1,631.61 = 384.94 : x
  2. Step 2: Convert to fraction form
    1,087.78/1,631.61 = 384.94/x
  3. Step 3: Cross multiply
    1,087.78x = 1,631.61 × 384.94
  4. Step 4: Simplify right side
    1,087.78x = 628,061.87
  5. Step 5: Solve for x
    x = 628,061.87/1,087.78
  6. Step 6: Final answer
    x = 577.38

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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.