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Finding the Fourth Proportional to 931.49, 1,280.09 and 888.69

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Solution

The fourth proportional to 931.49, 1,280.09 and 888.69 is: 1,221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.49 : 1,280.09 = 888.69 : x
  2. Step 2: Convert to fraction form
    931.49/1,280.09 = 888.69/x
  3. Step 3: Cross multiply
    931.49x = 1,280.09 × 888.69
  4. Step 4: Simplify right side
    931.49x = 1,137,603.18
  5. Step 5: Solve for x
    x = 1,137,603.18/931.49
  6. Step 6: Final answer
    x = 1,221.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.