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Finding the Fourth Proportional to 880.84, 1,214.41 and 757.82

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Solution

The fourth proportional to 880.84, 1,214.41 and 757.82 is: 1,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.84 : 1,214.41 = 757.82 : x
  2. Step 2: Convert to fraction form
    880.84/1,214.41 = 757.82/x
  3. Step 3: Cross multiply
    880.84x = 1,214.41 × 757.82
  4. Step 4: Simplify right side
    880.84x = 920,300.40
  5. Step 5: Solve for x
    x = 920,300.40/880.84
  6. Step 6: Final answer
    x = 1,044.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.