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Finding the Fourth Proportional to 694.77, 959.45 and 432.87

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Solution

The fourth proportional to 694.77, 959.45 and 432.87 is: 597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.77 : 959.45 = 432.87 : x
  2. Step 2: Convert to fraction form
    694.77/959.45 = 432.87/x
  3. Step 3: Cross multiply
    694.77x = 959.45 × 432.87
  4. Step 4: Simplify right side
    694.77x = 415,314.96
  5. Step 5: Solve for x
    x = 415,314.96/694.77
  6. Step 6: Final answer
    x = 597.77

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