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Finding the Fourth Proportional to 880.35, 1,214.80 and 786.79

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Solution

The fourth proportional to 880.35, 1,214.80 and 786.79 is: 1,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.35 : 1,214.80 = 786.79 : x
  2. Step 2: Convert to fraction form
    880.35/1,214.80 = 786.79/x
  3. Step 3: Cross multiply
    880.35x = 1,214.80 × 786.79
  4. Step 4: Simplify right side
    880.35x = 955,792.49
  5. Step 5: Solve for x
    x = 955,792.49/880.35
  6. Step 6: Final answer
    x = 1,085.70

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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.