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Finding the Fourth Proportional to 925.41, 1,277.07 and 511.41

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Solution

The fourth proportional to 925.41, 1,277.07 and 511.41 is: 705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.41 : 1,277.07 = 511.41 : x
  2. Step 2: Convert to fraction form
    925.41/1,277.07 = 511.41/x
  3. Step 3: Cross multiply
    925.41x = 1,277.07 × 511.41
  4. Step 4: Simplify right side
    925.41x = 653,106.37
  5. Step 5: Solve for x
    x = 653,106.37/925.41
  6. Step 6: Final answer
    x = 705.75

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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.