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Finding the Fourth Proportional to 714.05, 1,070.86 and 275.23

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Solution

The fourth proportional to 714.05, 1,070.86 and 275.23 is: 412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.05 : 1,070.86 = 275.23 : x
  2. Step 2: Convert to fraction form
    714.05/1,070.86 = 275.23/x
  3. Step 3: Cross multiply
    714.05x = 1,070.86 × 275.23
  4. Step 4: Simplify right side
    714.05x = 294,732.80
  5. Step 5: Solve for x
    x = 294,732.80/714.05
  6. Step 6: Final answer
    x = 412.76

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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.