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Finding the Fourth Proportional to 704.46, 1,054.67 and 460.25

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Solution

The fourth proportional to 704.46, 1,054.67 and 460.25 is: 689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.46 : 1,054.67 = 460.25 : x
  2. Step 2: Convert to fraction form
    704.46/1,054.67 = 460.25/x
  3. Step 3: Cross multiply
    704.46x = 1,054.67 × 460.25
  4. Step 4: Simplify right side
    704.46x = 485,404.29
  5. Step 5: Solve for x
    x = 485,404.29/704.46
  6. Step 6: Final answer
    x = 689.04

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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.