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Finding the Fourth Proportional to 1,014.73, 1,522.53 and 495.19

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Solution

The fourth proportional to 1,014.73, 1,522.53 and 495.19 is: 743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.73 : 1,522.53 = 495.19 : x
  2. Step 2: Convert to fraction form
    1,014.73/1,522.53 = 495.19/x
  3. Step 3: Cross multiply
    1,014.73x = 1,522.53 × 495.19
  4. Step 4: Simplify right side
    1,014.73x = 753,941.63
  5. Step 5: Solve for x
    x = 753,941.63/1,014.73
  6. Step 6: Final answer
    x = 743.00

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Why These Related Problems?

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