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Finding the Fourth Proportional to 696.20, 959.65 and 556.07

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Solution

The fourth proportional to 696.20, 959.65 and 556.07 is: 766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.20 : 959.65 = 556.07 : x
  2. Step 2: Convert to fraction form
    696.20/959.65 = 556.07/x
  3. Step 3: Cross multiply
    696.20x = 959.65 × 556.07
  4. Step 4: Simplify right side
    696.20x = 533,626.39
  5. Step 5: Solve for x
    x = 533,626.39/696.20
  6. Step 6: Final answer
    x = 766.49

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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.