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Finding the Fourth Proportional to 1,021.83, 1,532.51 and 501.31

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Solution

The fourth proportional to 1,021.83, 1,532.51 and 501.31 is: 751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.83 : 1,532.51 = 501.31 : x
  2. Step 2: Convert to fraction form
    1,021.83/1,532.51 = 501.31/x
  3. Step 3: Cross multiply
    1,021.83x = 1,532.51 × 501.31
  4. Step 4: Simplify right side
    1,021.83x = 768,262.59
  5. Step 5: Solve for x
    x = 768,262.59/1,021.83
  6. Step 6: Final answer
    x = 751.85

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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.