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Finding the Fourth Proportional to 792.70, 1,189.05 and 696.70

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Solution

The fourth proportional to 792.70, 1,189.05 and 696.70 is: 1,045.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.70 : 1,189.05 = 696.70 : x
  2. Step 2: Convert to fraction form
    792.70/1,189.05 = 696.70/x
  3. Step 3: Cross multiply
    792.70x = 1,189.05 × 696.70
  4. Step 4: Simplify right side
    792.70x = 828,411.14
  5. Step 5: Solve for x
    x = 828,411.14/792.70
  6. Step 6: Final answer
    x = 1,045.05

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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.