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Finding the Fourth Proportional to 1,021.40, 1,530.68 and 533.48

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Solution

The fourth proportional to 1,021.40, 1,530.68 and 533.48 is: 799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.40 : 1,530.68 = 533.48 : x
  2. Step 2: Convert to fraction form
    1,021.40/1,530.68 = 533.48/x
  3. Step 3: Cross multiply
    1,021.40x = 1,530.68 × 533.48
  4. Step 4: Simplify right side
    1,021.40x = 816,579.51
  5. Step 5: Solve for x
    x = 816,579.51/1,021.40
  6. Step 6: Final answer
    x = 799.47

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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.