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Finding the Fourth Proportional to 1,381.36, 1,904.48 and 883.16

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Solution

The fourth proportional to 1,381.36, 1,904.48 and 883.16 is: 1,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.36 : 1,904.48 = 883.16 : x
  2. Step 2: Convert to fraction form
    1,381.36/1,904.48 = 883.16/x
  3. Step 3: Cross multiply
    1,381.36x = 1,904.48 × 883.16
  4. Step 4: Simplify right side
    1,381.36x = 1,681,960.56
  5. Step 5: Solve for x
    x = 1,681,960.56/1,381.36
  6. Step 6: Final answer
    x = 1,217.61

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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.