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Finding the Fourth Proportional to 1,206.38, 1,809.42 and 384.74

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Solution

The fourth proportional to 1,206.38, 1,809.42 and 384.74 is: 577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.38 : 1,809.42 = 384.74 : x
  2. Step 2: Convert to fraction form
    1,206.38/1,809.42 = 384.74/x
  3. Step 3: Cross multiply
    1,206.38x = 1,809.42 × 384.74
  4. Step 4: Simplify right side
    1,206.38x = 696,156.25
  5. Step 5: Solve for x
    x = 696,156.25/1,206.38
  6. Step 6: Final answer
    x = 577.06

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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.