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Finding the Fourth Proportional to 1,445.75, 2,169.09 and 521.30

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Solution

The fourth proportional to 1,445.75, 2,169.09 and 521.30 is: 782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.75 : 2,169.09 = 521.30 : x
  2. Step 2: Convert to fraction form
    1,445.75/2,169.09 = 521.30/x
  3. Step 3: Cross multiply
    1,445.75x = 2,169.09 × 521.30
  4. Step 4: Simplify right side
    1,445.75x = 1,130,746.62
  5. Step 5: Solve for x
    x = 1,130,746.62/1,445.75
  6. Step 6: Final answer
    x = 782.12

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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.