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Finding the Fourth Proportional to 1,378.40, 1,902.62 and 789.32

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Solution

The fourth proportional to 1,378.40, 1,902.62 and 789.32 is: 1,089.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.40 : 1,902.62 = 789.32 : x
  2. Step 2: Convert to fraction form
    1,378.40/1,902.62 = 789.32/x
  3. Step 3: Cross multiply
    1,378.40x = 1,902.62 × 789.32
  4. Step 4: Simplify right side
    1,378.40x = 1,501,776.02
  5. Step 5: Solve for x
    x = 1,501,776.02/1,378.40
  6. Step 6: Final answer
    x = 1,089.51

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Double scale
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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.