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Finding the Fourth Proportional to 1,143.70, 1,577.64 and 789.07

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Solution

The fourth proportional to 1,143.70, 1,577.64 and 789.07 is: 1,088.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.70 : 1,577.64 = 789.07 : x
  2. Step 2: Convert to fraction form
    1,143.70/1,577.64 = 789.07/x
  3. Step 3: Cross multiply
    1,143.70x = 1,577.64 × 789.07
  4. Step 4: Simplify right side
    1,143.70x = 1,244,868.39
  5. Step 5: Solve for x
    x = 1,244,868.39/1,143.70
  6. Step 6: Final answer
    x = 1,088.46

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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.