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Finding the Fourth Proportional to 869.40, 1,296.14 and 792.45

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Solution

The fourth proportional to 869.40, 1,296.14 and 792.45 is: 1,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.40 : 1,296.14 = 792.45 : x
  2. Step 2: Convert to fraction form
    869.40/1,296.14 = 792.45/x
  3. Step 3: Cross multiply
    869.40x = 1,296.14 × 792.45
  4. Step 4: Simplify right side
    869.40x = 1,027,122.18
  5. Step 5: Solve for x
    x = 1,027,122.18/869.40
  6. Step 6: Final answer
    x = 1,181.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.