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Finding the Fourth Proportional to 1,014.78, 1,522.28 and 495.07

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Solution

The fourth proportional to 1,014.78, 1,522.28 and 495.07 is: 742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.78 : 1,522.28 = 495.07 : x
  2. Step 2: Convert to fraction form
    1,014.78/1,522.28 = 495.07/x
  3. Step 3: Cross multiply
    1,014.78x = 1,522.28 × 495.07
  4. Step 4: Simplify right side
    1,014.78x = 753,632.59
  5. Step 5: Solve for x
    x = 753,632.59/1,014.78
  6. Step 6: Final answer
    x = 742.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.