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Finding the Fourth Proportional to 1,014.73, 1,522.26 and 429.74

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Solution

The fourth proportional to 1,014.73, 1,522.26 and 429.74 is: 644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.73 : 1,522.26 = 429.74 : x
  2. Step 2: Convert to fraction form
    1,014.73/1,522.26 = 429.74/x
  3. Step 3: Cross multiply
    1,014.73x = 1,522.26 × 429.74
  4. Step 4: Simplify right side
    1,014.73x = 654,176.01
  5. Step 5: Solve for x
    x = 654,176.01/1,014.73
  6. Step 6: Final answer
    x = 644.68

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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.