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Finding the Fourth Proportional to 1,021.29, 1,530.72 and 534.21

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Solution

The fourth proportional to 1,021.29, 1,530.72 and 534.21 is: 800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.29 : 1,530.72 = 534.21 : x
  2. Step 2: Convert to fraction form
    1,021.29/1,530.72 = 534.21/x
  3. Step 3: Cross multiply
    1,021.29x = 1,530.72 × 534.21
  4. Step 4: Simplify right side
    1,021.29x = 817,725.93
  5. Step 5: Solve for x
    x = 817,725.93/1,021.29
  6. Step 6: Final answer
    x = 800.68

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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.