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Finding the Fourth Proportional to 1,546.84, 2,320.33 and 506.75

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Solution

The fourth proportional to 1,546.84, 2,320.33 and 506.75 is: 760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.84 : 2,320.33 = 506.75 : x
  2. Step 2: Convert to fraction form
    1,546.84/2,320.33 = 506.75/x
  3. Step 3: Cross multiply
    1,546.84x = 2,320.33 × 506.75
  4. Step 4: Simplify right side
    1,546.84x = 1,175,815.63
  5. Step 5: Solve for x
    x = 1,175,815.63/1,546.84
  6. Step 6: Final answer
    x = 760.14

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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.