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Finding the Fourth Proportional to 699.06, 1,047.80 and 351.70

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Solution

The fourth proportional to 699.06, 1,047.80 and 351.70 is: 527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.06 : 1,047.80 = 351.70 : x
  2. Step 2: Convert to fraction form
    699.06/1,047.80 = 351.70/x
  3. Step 3: Cross multiply
    699.06x = 1,047.80 × 351.70
  4. Step 4: Simplify right side
    699.06x = 368,511.26
  5. Step 5: Solve for x
    x = 368,511.26/699.06
  6. Step 6: Final answer
    x = 527.15

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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.