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Finding the Fourth Proportional to 797.55, 1,194.69 and 472.14

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Solution

The fourth proportional to 797.55, 1,194.69 and 472.14 is: 707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.55 : 1,194.69 = 472.14 : x
  2. Step 2: Convert to fraction form
    797.55/1,194.69 = 472.14/x
  3. Step 3: Cross multiply
    797.55x = 1,194.69 × 472.14
  4. Step 4: Simplify right side
    797.55x = 564,060.94
  5. Step 5: Solve for x
    x = 564,060.94/797.55
  6. Step 6: Final answer
    x = 707.24

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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.