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Finding the Fourth Proportional to 914.68, 1,370.80 and 792.37

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Solution

The fourth proportional to 914.68, 1,370.80 and 792.37 is: 1,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.68 : 1,370.80 = 792.37 : x
  2. Step 2: Convert to fraction form
    914.68/1,370.80 = 792.37/x
  3. Step 3: Cross multiply
    914.68x = 1,370.80 × 792.37
  4. Step 4: Simplify right side
    914.68x = 1,086,180.80
  5. Step 5: Solve for x
    x = 1,086,180.80/914.68
  6. Step 6: Final answer
    x = 1,187.50

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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.