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Finding the Fourth Proportional to 804.85, 1,208.48 and 714.13

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Solution

The fourth proportional to 804.85, 1,208.48 and 714.13 is: 1,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.85 : 1,208.48 = 714.13 : x
  2. Step 2: Convert to fraction form
    804.85/1,208.48 = 714.13/x
  3. Step 3: Cross multiply
    804.85x = 1,208.48 × 714.13
  4. Step 4: Simplify right side
    804.85x = 863,011.82
  5. Step 5: Solve for x
    x = 863,011.82/804.85
  6. Step 6: Final answer
    x = 1,072.26

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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.