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Finding the Fourth Proportional to 927.76, 1,391.57 and 465.07

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Solution

The fourth proportional to 927.76, 1,391.57 and 465.07 is: 697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.76 : 1,391.57 = 465.07 : x
  2. Step 2: Convert to fraction form
    927.76/1,391.57 = 465.07/x
  3. Step 3: Cross multiply
    927.76x = 1,391.57 × 465.07
  4. Step 4: Simplify right side
    927.76x = 647,178.62
  5. Step 5: Solve for x
    x = 647,178.62/927.76
  6. Step 6: Final answer
    x = 697.57

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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.