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Finding the Fourth Proportional to 1,287.03, 1,775.97 and 789.69

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Solution

The fourth proportional to 1,287.03, 1,775.97 and 789.69 is: 1,089.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.03 : 1,775.97 = 789.69 : x
  2. Step 2: Convert to fraction form
    1,287.03/1,775.97 = 789.69/x
  3. Step 3: Cross multiply
    1,287.03x = 1,775.97 × 789.69
  4. Step 4: Simplify right side
    1,287.03x = 1,402,465.75
  5. Step 5: Solve for x
    x = 1,402,465.75/1,287.03
  6. Step 6: Final answer
    x = 1,089.69

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1.5x scale

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.