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Finding the Fourth Proportional to 914.73, 1,370.49 and 761.64

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Solution

The fourth proportional to 914.73, 1,370.49 and 761.64 is: 1,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.73 : 1,370.49 = 761.64 : x
  2. Step 2: Convert to fraction form
    914.73/1,370.49 = 761.64/x
  3. Step 3: Cross multiply
    914.73x = 1,370.49 × 761.64
  4. Step 4: Simplify right side
    914.73x = 1,043,820.00
  5. Step 5: Solve for x
    x = 1,043,820.00/914.73
  6. Step 6: Final answer
    x = 1,141.12

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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.