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Finding the Fourth Proportional to 927.55, 1,280.21 and 554.34

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Solution

The fourth proportional to 927.55, 1,280.21 and 554.34 is: 765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.55 : 1,280.21 = 554.34 : x
  2. Step 2: Convert to fraction form
    927.55/1,280.21 = 554.34/x
  3. Step 3: Cross multiply
    927.55x = 1,280.21 × 554.34
  4. Step 4: Simplify right side
    927.55x = 709,671.61
  5. Step 5: Solve for x
    x = 709,671.61/927.55
  6. Step 6: Final answer
    x = 765.10

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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.