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Finding the Fourth Proportional to 1,343.65, 1,854.30 and 784.20

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Solution

The fourth proportional to 1,343.65, 1,854.30 and 784.20 is: 1,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.65 : 1,854.30 = 784.20 : x
  2. Step 2: Convert to fraction form
    1,343.65/1,854.30 = 784.20/x
  3. Step 3: Cross multiply
    1,343.65x = 1,854.30 × 784.20
  4. Step 4: Simplify right side
    1,343.65x = 1,454,142.06
  5. Step 5: Solve for x
    x = 1,454,142.06/1,343.65
  6. Step 6: Final answer
    x = 1,082.23

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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.