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Finding the Fourth Proportional to 823.34, 1,136.31 and 491.77

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Solution

The fourth proportional to 823.34, 1,136.31 and 491.77 is: 678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.34 : 1,136.31 = 491.77 : x
  2. Step 2: Convert to fraction form
    823.34/1,136.31 = 491.77/x
  3. Step 3: Cross multiply
    823.34x = 1,136.31 × 491.77
  4. Step 4: Simplify right side
    823.34x = 558,803.17
  5. Step 5: Solve for x
    x = 558,803.17/823.34
  6. Step 6: Final answer
    x = 678.70

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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.