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Finding the Fourth Proportional to 694.08, 959.04 and 569.52

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Solution

The fourth proportional to 694.08, 959.04 and 569.52 is: 786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.08 : 959.04 = 569.52 : x
  2. Step 2: Convert to fraction form
    694.08/959.04 = 569.52/x
  3. Step 3: Cross multiply
    694.08x = 959.04 × 569.52
  4. Step 4: Simplify right side
    694.08x = 546,192.46
  5. Step 5: Solve for x
    x = 546,192.46/694.08
  6. Step 6: Final answer
    x = 786.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.