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Finding the Fourth Proportional to 927.94, 1,280.36 and 554.86

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Solution

The fourth proportional to 927.94, 1,280.36 and 554.86 is: 765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.94 : 1,280.36 = 554.86 : x
  2. Step 2: Convert to fraction form
    927.94/1,280.36 = 554.86/x
  3. Step 3: Cross multiply
    927.94x = 1,280.36 × 554.86
  4. Step 4: Simplify right side
    927.94x = 710,411.37
  5. Step 5: Solve for x
    x = 710,411.37/927.94
  6. Step 6: Final answer
    x = 765.58

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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.