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Finding the Fourth Proportional to 824.63, 1,136.35 and 588.16

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Solution

The fourth proportional to 824.63, 1,136.35 and 588.16 is: 810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.63 : 1,136.35 = 588.16 : x
  2. Step 2: Convert to fraction form
    824.63/1,136.35 = 588.16/x
  3. Step 3: Cross multiply
    824.63x = 1,136.35 × 588.16
  4. Step 4: Simplify right side
    824.63x = 668,354.46
  5. Step 5: Solve for x
    x = 668,354.46/824.63
  6. Step 6: Final answer
    x = 810.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.