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Finding the Fourth Proportional to 1,020.84, 1,528.56 and 533.76

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Solution

The fourth proportional to 1,020.84, 1,528.56 and 533.76 is: 799.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.84 : 1,528.56 = 533.76 : x
  2. Step 2: Convert to fraction form
    1,020.84/1,528.56 = 533.76/x
  3. Step 3: Cross multiply
    1,020.84x = 1,528.56 × 533.76
  4. Step 4: Simplify right side
    1,020.84x = 815,884.19
  5. Step 5: Solve for x
    x = 815,884.19/1,020.84
  6. Step 6: Final answer
    x = 799.23

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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.