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Finding the Fourth Proportional to 699.23, 1,047.69 and 352.22

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Solution

The fourth proportional to 699.23, 1,047.69 and 352.22 is: 527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.23 : 1,047.69 = 352.22 : x
  2. Step 2: Convert to fraction form
    699.23/1,047.69 = 352.22/x
  3. Step 3: Cross multiply
    699.23x = 1,047.69 × 352.22
  4. Step 4: Simplify right side
    699.23x = 369,012.13
  5. Step 5: Solve for x
    x = 369,012.13/699.23
  6. Step 6: Final answer
    x = 527.74

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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.