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Finding the Fourth Proportional to 1,074.02, 1,609.72 and 765.24

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Solution

The fourth proportional to 1,074.02, 1,609.72 and 765.24 is: 1,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.02 : 1,609.72 = 765.24 : x
  2. Step 2: Convert to fraction form
    1,074.02/1,609.72 = 765.24/x
  3. Step 3: Cross multiply
    1,074.02x = 1,609.72 × 765.24
  4. Step 4: Simplify right side
    1,074.02x = 1,231,822.13
  5. Step 5: Solve for x
    x = 1,231,822.13/1,074.02
  6. Step 6: Final answer
    x = 1,146.93

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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.