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Finding the Fourth Proportional to 1,343.50, 1,854.04 and 784.36

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Solution

The fourth proportional to 1,343.50, 1,854.04 and 784.36 is: 1,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.50 : 1,854.04 = 784.36 : x
  2. Step 2: Convert to fraction form
    1,343.50/1,854.04 = 784.36/x
  3. Step 3: Cross multiply
    1,343.50x = 1,854.04 × 784.36
  4. Step 4: Simplify right side
    1,343.50x = 1,454,234.81
  5. Step 5: Solve for x
    x = 1,454,234.81/1,343.50
  6. Step 6: Final answer
    x = 1,082.42

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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.