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Finding the Fourth Proportional to 1,021.64, 1,530.45 and 533.51

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Solution

The fourth proportional to 1,021.64, 1,530.45 and 533.51 is: 799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.64 : 1,530.45 = 533.51 : x
  2. Step 2: Convert to fraction form
    1,021.64/1,530.45 = 533.51/x
  3. Step 3: Cross multiply
    1,021.64x = 1,530.45 × 533.51
  4. Step 4: Simplify right side
    1,021.64x = 816,502.73
  5. Step 5: Solve for x
    x = 816,502.73/1,021.64
  6. Step 6: Final answer
    x = 799.21

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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.