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Finding the Fourth Proportional to 1,378.96, 1,903.13 and 789.48

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Solution

The fourth proportional to 1,378.96, 1,903.13 and 789.48 is: 1,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.96 : 1,903.13 = 789.48 : x
  2. Step 2: Convert to fraction form
    1,378.96/1,903.13 = 789.48/x
  3. Step 3: Cross multiply
    1,378.96x = 1,903.13 × 789.48
  4. Step 4: Simplify right side
    1,378.96x = 1,502,483.07
  5. Step 5: Solve for x
    x = 1,502,483.07/1,378.96
  6. Step 6: Final answer
    x = 1,089.58

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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.