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Finding the Fourth Proportional to 1,309.07, 1,963.73 and 384.64

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Solution

The fourth proportional to 1,309.07, 1,963.73 and 384.64 is: 576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.07 : 1,963.73 = 384.64 : x
  2. Step 2: Convert to fraction form
    1,309.07/1,963.73 = 384.64/x
  3. Step 3: Cross multiply
    1,309.07x = 1,963.73 × 384.64
  4. Step 4: Simplify right side
    1,309.07x = 755,325.16
  5. Step 5: Solve for x
    x = 755,325.16/1,309.07
  6. Step 6: Final answer
    x = 576.99

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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.