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Finding the Fourth Proportional to 1,022.45, 1,530.93 and 534.47

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Solution

The fourth proportional to 1,022.45, 1,530.93 and 534.47 is: 800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.45 : 1,530.93 = 534.47 : x
  2. Step 2: Convert to fraction form
    1,022.45/1,530.93 = 534.47/x
  3. Step 3: Cross multiply
    1,022.45x = 1,530.93 × 534.47
  4. Step 4: Simplify right side
    1,022.45x = 818,239.98
  5. Step 5: Solve for x
    x = 818,239.98/1,022.45
  6. Step 6: Final answer
    x = 800.27

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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.