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Finding the Fourth Proportional to 1,062.87, 1,464.70 and 767.58

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Solution

The fourth proportional to 1,062.87, 1,464.70 and 767.58 is: 1,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.87 : 1,464.70 = 767.58 : x
  2. Step 2: Convert to fraction form
    1,062.87/1,464.70 = 767.58/x
  3. Step 3: Cross multiply
    1,062.87x = 1,464.70 × 767.58
  4. Step 4: Simplify right side
    1,062.87x = 1,124,274.43
  5. Step 5: Solve for x
    x = 1,124,274.43/1,062.87
  6. Step 6: Final answer
    x = 1,057.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.