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Finding the Fourth Proportional to 1,021.44, 1,530.80 and 500.65

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Solution

The fourth proportional to 1,021.44, 1,530.80 and 500.65 is: 750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.44 : 1,530.80 = 500.65 : x
  2. Step 2: Convert to fraction form
    1,021.44/1,530.80 = 500.65/x
  3. Step 3: Cross multiply
    1,021.44x = 1,530.80 × 500.65
  4. Step 4: Simplify right side
    1,021.44x = 766,390.57
  5. Step 5: Solve for x
    x = 766,390.57/1,021.44
  6. Step 6: Final answer
    x = 750.30

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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.