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Finding the Fourth Proportional to 1,077.64, 1,616.04 and 384.18

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Solution

The fourth proportional to 1,077.64, 1,616.04 and 384.18 is: 576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.64 : 1,616.04 = 384.18 : x
  2. Step 2: Convert to fraction form
    1,077.64/1,616.04 = 384.18/x
  3. Step 3: Cross multiply
    1,077.64x = 1,616.04 × 384.18
  4. Step 4: Simplify right side
    1,077.64x = 620,850.25
  5. Step 5: Solve for x
    x = 620,850.25/1,077.64
  6. Step 6: Final answer
    x = 576.12

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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.