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Finding the Fourth Proportional to 1,021.14, 1,529.67 and 472.59

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Solution

The fourth proportional to 1,021.14, 1,529.67 and 472.59 is: 707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.14 : 1,529.67 = 472.59 : x
  2. Step 2: Convert to fraction form
    1,021.14/1,529.67 = 472.59/x
  3. Step 3: Cross multiply
    1,021.14x = 1,529.67 × 472.59
  4. Step 4: Simplify right side
    1,021.14x = 722,906.75
  5. Step 5: Solve for x
    x = 722,906.75/1,021.14
  6. Step 6: Final answer
    x = 707.94

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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.