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Finding the Fourth Proportional to 1,205.78, 1,808.88 and 384.10

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Solution

The fourth proportional to 1,205.78, 1,808.88 and 384.10 is: 576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.78 : 1,808.88 = 384.10 : x
  2. Step 2: Convert to fraction form
    1,205.78/1,808.88 = 384.10/x
  3. Step 3: Cross multiply
    1,205.78x = 1,808.88 × 384.10
  4. Step 4: Simplify right side
    1,205.78x = 694,790.81
  5. Step 5: Solve for x
    x = 694,790.81/1,205.78
  6. Step 6: Final answer
    x = 576.22

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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.