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Finding the Fourth Proportional to 827.64, 1,140.76 and 588.04

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Solution

The fourth proportional to 827.64, 1,140.76 and 588.04 is: 810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.64 : 1,140.76 = 588.04 : x
  2. Step 2: Convert to fraction form
    827.64/1,140.76 = 588.04/x
  3. Step 3: Cross multiply
    827.64x = 1,140.76 × 588.04
  4. Step 4: Simplify right side
    827.64x = 670,812.51
  5. Step 5: Solve for x
    x = 670,812.51/827.64
  6. Step 6: Final answer
    x = 810.51

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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.