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Finding the Fourth Proportional to 1,078.56, 1,487.84 and 630.50

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Solution

The fourth proportional to 1,078.56, 1,487.84 and 630.50 is: 869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.56 : 1,487.84 = 630.50 : x
  2. Step 2: Convert to fraction form
    1,078.56/1,487.84 = 630.50/x
  3. Step 3: Cross multiply
    1,078.56x = 1,487.84 × 630.50
  4. Step 4: Simplify right side
    1,078.56x = 938,072.53
  5. Step 5: Solve for x
    x = 938,072.53/1,078.56
  6. Step 6: Final answer
    x = 869.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.