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Finding the Fourth Proportional to 1,127.84, 1,689.60 and 639.44

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Solution

The fourth proportional to 1,127.84, 1,689.60 and 639.44 is: 957.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.84 : 1,689.60 = 639.44 : x
  2. Step 2: Convert to fraction form
    1,127.84/1,689.60 = 639.44/x
  3. Step 3: Cross multiply
    1,127.84x = 1,689.60 × 639.44
  4. Step 4: Simplify right side
    1,127.84x = 1,080,397.82
  5. Step 5: Solve for x
    x = 1,080,397.82/1,127.84
  6. Step 6: Final answer
    x = 957.94

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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.