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Finding the Fourth Proportional to 1,309.26, 1,964.01 and 578.94

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Solution

The fourth proportional to 1,309.26, 1,964.01 and 578.94 is: 868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.26 : 1,964.01 = 578.94 : x
  2. Step 2: Convert to fraction form
    1,309.26/1,964.01 = 578.94/x
  3. Step 3: Cross multiply
    1,309.26x = 1,964.01 × 578.94
  4. Step 4: Simplify right side
    1,309.26x = 1,137,043.95
  5. Step 5: Solve for x
    x = 1,137,043.95/1,309.26
  6. Step 6: Final answer
    x = 868.46

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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.