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Finding the Fourth Proportional to 1,309.71, 1,964.90 and 488.01

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Solution

The fourth proportional to 1,309.71, 1,964.90 and 488.01 is: 732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.71 : 1,964.90 = 488.01 : x
  2. Step 2: Convert to fraction form
    1,309.71/1,964.90 = 488.01/x
  3. Step 3: Cross multiply
    1,309.71x = 1,964.90 × 488.01
  4. Step 4: Simplify right side
    1,309.71x = 958,888.41
  5. Step 5: Solve for x
    x = 958,888.41/1,309.71
  6. Step 6: Final answer
    x = 732.14

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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.