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Finding the Fourth Proportional to 702.22, 1,051.71 and 538.60

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Solution

The fourth proportional to 702.22, 1,051.71 and 538.60 is: 806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.22 : 1,051.71 = 538.60 : x
  2. Step 2: Convert to fraction form
    702.22/1,051.71 = 538.60/x
  3. Step 3: Cross multiply
    702.22x = 1,051.71 × 538.60
  4. Step 4: Simplify right side
    702.22x = 566,451.01
  5. Step 5: Solve for x
    x = 566,451.01/702.22
  6. Step 6: Final answer
    x = 806.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.