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Finding the Fourth Proportional to 1,378.71, 2,068.16 and 513

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Solution

The fourth proportional to 1,378.71, 2,068.16 and 513 is: 769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.71 : 2,068.16 = 513 : x
  2. Step 2: Convert to fraction form
    1,378.71/2,068.16 = 513/x
  3. Step 3: Cross multiply
    1,378.71x = 2,068.16 × 513
  4. Step 4: Simplify right side
    1,378.71x = 1,060,963.52
  5. Step 5: Solve for x
    x = 1,060,963.52/1,378.71
  6. Step 6: Final answer
    x = 769.53

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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.