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Finding the Fourth Proportional to 714.72, 1,070.30 and 453.93

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Solution

The fourth proportional to 714.72, 1,070.30 and 453.93 is: 679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.72 : 1,070.30 = 453.93 : x
  2. Step 2: Convert to fraction form
    714.72/1,070.30 = 453.93/x
  3. Step 3: Cross multiply
    714.72x = 1,070.30 × 453.93
  4. Step 4: Simplify right side
    714.72x = 485,839.01
  5. Step 5: Solve for x
    x = 485,839.01/714.72
  6. Step 6: Final answer
    x = 679.76

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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.