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Finding the Fourth Proportional to 1,077.66, 1,616.72 and 428.36

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Solution

The fourth proportional to 1,077.66, 1,616.72 and 428.36 is: 642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.66 : 1,616.72 = 428.36 : x
  2. Step 2: Convert to fraction form
    1,077.66/1,616.72 = 428.36/x
  3. Step 3: Cross multiply
    1,077.66x = 1,616.72 × 428.36
  4. Step 4: Simplify right side
    1,077.66x = 692,527.95
  5. Step 5: Solve for x
    x = 692,527.95/1,077.66
  6. Step 6: Final answer
    x = 642.62

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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.