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Finding the Fourth Proportional to 1,077.66, 1,616.82 and 428.04

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Solution

The fourth proportional to 1,077.66, 1,616.82 and 428.04 is: 642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.66 : 1,616.82 = 428.04 : x
  2. Step 2: Convert to fraction form
    1,077.66/1,616.82 = 428.04/x
  3. Step 3: Cross multiply
    1,077.66x = 1,616.82 × 428.04
  4. Step 4: Simplify right side
    1,077.66x = 692,063.63
  5. Step 5: Solve for x
    x = 692,063.63/1,077.66
  6. Step 6: Final answer
    x = 642.19

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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.