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Finding the Fourth Proportional to 714.11, 1,070.12 and 324.23

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Solution

The fourth proportional to 714.11, 1,070.12 and 324.23 is: 485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.11 : 1,070.12 = 324.23 : x
  2. Step 2: Convert to fraction form
    714.11/1,070.12 = 324.23/x
  3. Step 3: Cross multiply
    714.11x = 1,070.12 × 324.23
  4. Step 4: Simplify right side
    714.11x = 346,963.39
  5. Step 5: Solve for x
    x = 346,963.39/714.11
  6. Step 6: Final answer
    x = 485.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.