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Finding the Fourth Proportional to 1,552.70, 2,329.19 and 512.66

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Solution

The fourth proportional to 1,552.70, 2,329.19 and 512.66 is: 769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.70 : 2,329.19 = 512.66 : x
  2. Step 2: Convert to fraction form
    1,552.70/2,329.19 = 512.66/x
  3. Step 3: Cross multiply
    1,552.70x = 2,329.19 × 512.66
  4. Step 4: Simplify right side
    1,552.70x = 1,194,068.34
  5. Step 5: Solve for x
    x = 1,194,068.34/1,552.70
  6. Step 6: Final answer
    x = 769.03

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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.