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Finding the Fourth Proportional to 702.52, 967.94 and 505.69

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Solution

The fourth proportional to 702.52, 967.94 and 505.69 is: 696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.52 : 967.94 = 505.69 : x
  2. Step 2: Convert to fraction form
    702.52/967.94 = 505.69/x
  3. Step 3: Cross multiply
    702.52x = 967.94 × 505.69
  4. Step 4: Simplify right side
    702.52x = 489,477.58
  5. Step 5: Solve for x
    x = 489,477.58/702.52
  6. Step 6: Final answer
    x = 696.75

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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.