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Finding the Fourth Proportional to 925.38, 1,275.95 and 859.77

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Solution

The fourth proportional to 925.38, 1,275.95 and 859.77 is: 1,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.38 : 1,275.95 = 859.77 : x
  2. Step 2: Convert to fraction form
    925.38/1,275.95 = 859.77/x
  3. Step 3: Cross multiply
    925.38x = 1,275.95 × 859.77
  4. Step 4: Simplify right side
    925.38x = 1,097,025.68
  5. Step 5: Solve for x
    x = 1,097,025.68/925.38
  6. Step 6: Final answer
    x = 1,185.49

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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.