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Finding the Fourth Proportional to 696.16, 959.77 and 577.70

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Solution

The fourth proportional to 696.16, 959.77 and 577.70 is: 796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.16 : 959.77 = 577.70 : x
  2. Step 2: Convert to fraction form
    696.16/959.77 = 577.70/x
  3. Step 3: Cross multiply
    696.16x = 959.77 × 577.70
  4. Step 4: Simplify right side
    696.16x = 554,459.13
  5. Step 5: Solve for x
    x = 554,459.13/696.16
  6. Step 6: Final answer
    x = 796.45

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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.