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Finding the Fourth Proportional to 1,309.66, 1,964.48 and 322.46

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Solution

The fourth proportional to 1,309.66, 1,964.48 and 322.46 is: 483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.66 : 1,964.48 = 322.46 : x
  2. Step 2: Convert to fraction form
    1,309.66/1,964.48 = 322.46/x
  3. Step 3: Cross multiply
    1,309.66x = 1,964.48 × 322.46
  4. Step 4: Simplify right side
    1,309.66x = 633,466.22
  5. Step 5: Solve for x
    x = 633,466.22/1,309.66
  6. Step 6: Final answer
    x = 483.69

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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.