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Finding the Fourth Proportional to 827.29, 1,140.06 and 564.85

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Solution

The fourth proportional to 827.29, 1,140.06 and 564.85 is: 778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.29 : 1,140.06 = 564.85 : x
  2. Step 2: Convert to fraction form
    827.29/1,140.06 = 564.85/x
  3. Step 3: Cross multiply
    827.29x = 1,140.06 × 564.85
  4. Step 4: Simplify right side
    827.29x = 643,962.89
  5. Step 5: Solve for x
    x = 643,962.89/827.29
  6. Step 6: Final answer
    x = 778.40

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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.