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Finding the Fourth Proportional to 704.61, 1,055.43 and 566.91

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Solution

The fourth proportional to 704.61, 1,055.43 and 566.91 is: 849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.61 : 1,055.43 = 566.91 : x
  2. Step 2: Convert to fraction form
    704.61/1,055.43 = 566.91/x
  3. Step 3: Cross multiply
    704.61x = 1,055.43 × 566.91
  4. Step 4: Simplify right side
    704.61x = 598,333.82
  5. Step 5: Solve for x
    x = 598,333.82/704.61
  6. Step 6: Final answer
    x = 849.17

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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.