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Finding the Fourth Proportional to 704.08, 1,054.68 and 566.38

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Solution

The fourth proportional to 704.08, 1,054.68 and 566.38 is: 848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.08 : 1,054.68 = 566.38 : x
  2. Step 2: Convert to fraction form
    704.08/1,054.68 = 566.38/x
  3. Step 3: Cross multiply
    704.08x = 1,054.68 × 566.38
  4. Step 4: Simplify right side
    704.08x = 597,349.66
  5. Step 5: Solve for x
    x = 597,349.66/704.08
  6. Step 6: Final answer
    x = 848.41

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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.