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Finding the Fourth Proportional to 704.10, 1,053.90 and 457.44

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Solution

The fourth proportional to 704.10, 1,053.90 and 457.44 is: 684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.10 : 1,053.90 = 457.44 : x
  2. Step 2: Convert to fraction form
    704.10/1,053.90 = 457.44/x
  3. Step 3: Cross multiply
    704.10x = 1,053.90 × 457.44
  4. Step 4: Simplify right side
    704.10x = 482,096.02
  5. Step 5: Solve for x
    x = 482,096.02/704.10
  6. Step 6: Final answer
    x = 684.70

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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.