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Finding the Fourth Proportional to 704.94, 1,058.04 and 461.76

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Solution

The fourth proportional to 704.94, 1,058.04 and 461.76 is: 693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.94 : 1,058.04 = 461.76 : x
  2. Step 2: Convert to fraction form
    704.94/1,058.04 = 461.76/x
  3. Step 3: Cross multiply
    704.94x = 1,058.04 × 461.76
  4. Step 4: Simplify right side
    704.94x = 488,560.55
  5. Step 5: Solve for x
    x = 488,560.55/704.94
  6. Step 6: Final answer
    x = 693.05

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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.