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Finding the Fourth Proportional to 1,206.07, 1,809.28 and 384.07

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Solution

The fourth proportional to 1,206.07, 1,809.28 and 384.07 is: 576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.07 : 1,809.28 = 384.07 : x
  2. Step 2: Convert to fraction form
    1,206.07/1,809.28 = 384.07/x
  3. Step 3: Cross multiply
    1,206.07x = 1,809.28 × 384.07
  4. Step 4: Simplify right side
    1,206.07x = 694,890.17
  5. Step 5: Solve for x
    x = 694,890.17/1,206.07
  6. Step 6: Final answer
    x = 576.16

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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.