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Finding the Fourth Proportional to 1,373.92, 1,895.74 and 784.33

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Solution

The fourth proportional to 1,373.92, 1,895.74 and 784.33 is: 1,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.92 : 1,895.74 = 784.33 : x
  2. Step 2: Convert to fraction form
    1,373.92/1,895.74 = 784.33/x
  3. Step 3: Cross multiply
    1,373.92x = 1,895.74 × 784.33
  4. Step 4: Simplify right side
    1,373.92x = 1,486,885.75
  5. Step 5: Solve for x
    x = 1,486,885.75/1,373.92
  6. Step 6: Final answer
    x = 1,082.22

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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.