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Finding the Fourth Proportional to 747.70, 1,121.56 and 285.26

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Solution

The fourth proportional to 747.70, 1,121.56 and 285.26 is: 427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.70 : 1,121.56 = 285.26 : x
  2. Step 2: Convert to fraction form
    747.70/1,121.56 = 285.26/x
  3. Step 3: Cross multiply
    747.70x = 1,121.56 × 285.26
  4. Step 4: Simplify right side
    747.70x = 319,929.88
  5. Step 5: Solve for x
    x = 319,929.88/747.70
  6. Step 6: Final answer
    x = 427.89

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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.