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Finding the Fourth Proportional to 3,068.37, 4,602.56 and 759.87

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Solution

The fourth proportional to 3,068.37, 4,602.56 and 759.87 is: 1,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.37 : 4,602.56 = 759.87 : x
  2. Step 2: Convert to fraction form
    3,068.37/4,602.56 = 759.87/x
  3. Step 3: Cross multiply
    3,068.37x = 4,602.56 × 759.87
  4. Step 4: Simplify right side
    3,068.37x = 3,497,343.47
  5. Step 5: Solve for x
    x = 3,497,343.47/3,068.37
  6. Step 6: Final answer
    x = 1,139.81

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1.5x scale

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.