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Finding the Fourth Proportional to 1,534.34, 2,299.59 and 765.06

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Solution

The fourth proportional to 1,534.34, 2,299.59 and 765.06 is: 1,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.34 : 2,299.59 = 765.06 : x
  2. Step 2: Convert to fraction form
    1,534.34/2,299.59 = 765.06/x
  3. Step 3: Cross multiply
    1,534.34x = 2,299.59 × 765.06
  4. Step 4: Simplify right side
    1,534.34x = 1,759,324.33
  5. Step 5: Solve for x
    x = 1,759,324.33/1,534.34
  6. Step 6: Final answer
    x = 1,146.63

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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.