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Finding the Fourth Proportional to 927.30, 1,285.54 and 877.98

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Solution

The fourth proportional to 927.30, 1,285.54 and 877.98 is: 1,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.30 : 1,285.54 = 877.98 : x
  2. Step 2: Convert to fraction form
    927.30/1,285.54 = 877.98/x
  3. Step 3: Cross multiply
    927.30x = 1,285.54 × 877.98
  4. Step 4: Simplify right side
    927.30x = 1,128,678.41
  5. Step 5: Solve for x
    x = 1,128,678.41/927.30
  6. Step 6: Final answer
    x = 1,217.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.