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Finding the Fourth Proportional to 1,378.07, 1,900.43 and 905.13

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Solution

The fourth proportional to 1,378.07, 1,900.43 and 905.13 is: 1,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.07 : 1,900.43 = 905.13 : x
  2. Step 2: Convert to fraction form
    1,378.07/1,900.43 = 905.13/x
  3. Step 3: Cross multiply
    1,378.07x = 1,900.43 × 905.13
  4. Step 4: Simplify right side
    1,378.07x = 1,720,138.47
  5. Step 5: Solve for x
    x = 1,720,138.47/1,378.07
  6. Step 6: Final answer
    x = 1,248.22

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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.