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Finding the Fourth Proportional to 887.51, 1,337.90 and 828.04

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Solution

The fourth proportional to 887.51, 1,337.90 and 828.04 is: 1,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.51 : 1,337.90 = 828.04 : x
  2. Step 2: Convert to fraction form
    887.51/1,337.90 = 828.04/x
  3. Step 3: Cross multiply
    887.51x = 1,337.90 × 828.04
  4. Step 4: Simplify right side
    887.51x = 1,107,833.44
  5. Step 5: Solve for x
    x = 1,107,833.44/887.51
  6. Step 6: Final answer
    x = 1,248.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.