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Finding the Fourth Proportional to 823.07, 1,136.41 and 508.75

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Solution

The fourth proportional to 823.07, 1,136.41 and 508.75 is: 702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.07 : 1,136.41 = 508.75 : x
  2. Step 2: Convert to fraction form
    823.07/1,136.41 = 508.75/x
  3. Step 3: Cross multiply
    823.07x = 1,136.41 × 508.75
  4. Step 4: Simplify right side
    823.07x = 578,148.59
  5. Step 5: Solve for x
    x = 578,148.59/823.07
  6. Step 6: Final answer
    x = 702.43

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Double scale
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1.5x scale

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.