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Finding the Fourth Proportional to 827.90, 1,141.74 and 562.74

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Solution

The fourth proportional to 827.90, 1,141.74 and 562.74 is: 776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.90 : 1,141.74 = 562.74 : x
  2. Step 2: Convert to fraction form
    827.90/1,141.74 = 562.74/x
  3. Step 3: Cross multiply
    827.90x = 1,141.74 × 562.74
  4. Step 4: Simplify right side
    827.90x = 642,502.77
  5. Step 5: Solve for x
    x = 642,502.77/827.90
  6. Step 6: Final answer
    x = 776.06

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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.