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Finding the Fourth Proportional to 1,309.53, 1,964.52 and 385.10

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Solution

The fourth proportional to 1,309.53, 1,964.52 and 385.10 is: 577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.53 : 1,964.52 = 385.10 : x
  2. Step 2: Convert to fraction form
    1,309.53/1,964.52 = 385.10/x
  3. Step 3: Cross multiply
    1,309.53x = 1,964.52 × 385.10
  4. Step 4: Simplify right side
    1,309.53x = 756,536.65
  5. Step 5: Solve for x
    x = 756,536.65/1,309.53
  6. Step 6: Final answer
    x = 577.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.