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Finding the Fourth Proportional to 1,546.34, 2,319.58 and 506.25

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Solution

The fourth proportional to 1,546.34, 2,319.58 and 506.25 is: 759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.34 : 2,319.58 = 506.25 : x
  2. Step 2: Convert to fraction form
    1,546.34/2,319.58 = 506.25/x
  3. Step 3: Cross multiply
    1,546.34x = 2,319.58 × 506.25
  4. Step 4: Simplify right side
    1,546.34x = 1,174,275.78
  5. Step 5: Solve for x
    x = 1,174,275.78/1,546.34
  6. Step 6: Final answer
    x = 759.39

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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.