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Finding the Fourth Proportional to 1,088.75, 1,631.30 and 676.86

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Solution

The fourth proportional to 1,088.75, 1,631.30 and 676.86 is: 1,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.75 : 1,631.30 = 676.86 : x
  2. Step 2: Convert to fraction form
    1,088.75/1,631.30 = 676.86/x
  3. Step 3: Cross multiply
    1,088.75x = 1,631.30 × 676.86
  4. Step 4: Simplify right side
    1,088.75x = 1,104,158.33
  5. Step 5: Solve for x
    x = 1,104,158.33/1,088.75
  6. Step 6: Final answer
    x = 1,014.16

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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.