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Finding the Fourth Proportional to 1,227.13, 1,693.52 and 703.24

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Solution

The fourth proportional to 1,227.13, 1,693.52 and 703.24 is: 970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.13 : 1,693.52 = 703.24 : x
  2. Step 2: Convert to fraction form
    1,227.13/1,693.52 = 703.24/x
  3. Step 3: Cross multiply
    1,227.13x = 1,693.52 × 703.24
  4. Step 4: Simplify right side
    1,227.13x = 1,190,951.00
  5. Step 5: Solve for x
    x = 1,190,951.00/1,227.13
  6. Step 6: Final answer
    x = 970.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.