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Finding the Fourth Proportional to 1,022.04, 1,529.76 and 534.42

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Solution

The fourth proportional to 1,022.04, 1,529.76 and 534.42 is: 799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.04 : 1,529.76 = 534.42 : x
  2. Step 2: Convert to fraction form
    1,022.04/1,529.76 = 534.42/x
  3. Step 3: Cross multiply
    1,022.04x = 1,529.76 × 534.42
  4. Step 4: Simplify right side
    1,022.04x = 817,534.34
  5. Step 5: Solve for x
    x = 817,534.34/1,022.04
  6. Step 6: Final answer
    x = 799.90

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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.