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Finding the Fourth Proportional to 920.24, 1,270 and 547.28

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Solution

The fourth proportional to 920.24, 1,270 and 547.28 is: 755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.24 : 1,270 = 547.28 : x
  2. Step 2: Convert to fraction form
    920.24/1,270 = 547.28/x
  3. Step 3: Cross multiply
    920.24x = 1,270 × 547.28
  4. Step 4: Simplify right side
    920.24x = 695,045.60
  5. Step 5: Solve for x
    x = 695,045.60/920.24
  6. Step 6: Final answer
    x = 755.29

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