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Finding the Fourth Proportional to 797.04, 1,190.11 and 714.24

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Solution

The fourth proportional to 797.04, 1,190.11 and 714.24 is: 1,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.04 : 1,190.11 = 714.24 : x
  2. Step 2: Convert to fraction form
    797.04/1,190.11 = 714.24/x
  3. Step 3: Cross multiply
    797.04x = 1,190.11 × 714.24
  4. Step 4: Simplify right side
    797.04x = 850,020.60
  5. Step 5: Solve for x
    x = 850,020.60/797.04
  6. Step 6: Final answer
    x = 1,066.47

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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.