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Finding the Fourth Proportional to 1,132.07, 1,699.02 and 787.82

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Solution

The fourth proportional to 1,132.07, 1,699.02 and 787.82 is: 1,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.07 : 1,699.02 = 787.82 : x
  2. Step 2: Convert to fraction form
    1,132.07/1,699.02 = 787.82/x
  3. Step 3: Cross multiply
    1,132.07x = 1,699.02 × 787.82
  4. Step 4: Simplify right side
    1,132.07x = 1,338,513.44
  5. Step 5: Solve for x
    x = 1,338,513.44/1,132.07
  6. Step 6: Final answer
    x = 1,182.36

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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.