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Finding the Fourth Proportional to 1,546.30, 2,319.54 and 505.84

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Solution

The fourth proportional to 1,546.30, 2,319.54 and 505.84 is: 758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.30 : 2,319.54 = 505.84 : x
  2. Step 2: Convert to fraction form
    1,546.30/2,319.54 = 505.84/x
  3. Step 3: Cross multiply
    1,546.30x = 2,319.54 × 505.84
  4. Step 4: Simplify right side
    1,546.30x = 1,173,316.11
  5. Step 5: Solve for x
    x = 1,173,316.11/1,546.30
  6. Step 6: Final answer
    x = 758.79

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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.