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Finding the Fourth Proportional to 774.04, 1,155.70 and 696.30

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Solution

The fourth proportional to 774.04, 1,155.70 and 696.30 is: 1,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.04 : 1,155.70 = 696.30 : x
  2. Step 2: Convert to fraction form
    774.04/1,155.70 = 696.30/x
  3. Step 3: Cross multiply
    774.04x = 1,155.70 × 696.30
  4. Step 4: Simplify right side
    774.04x = 804,708.13
  5. Step 5: Solve for x
    x = 804,708.13/774.04
  6. Step 6: Final answer
    x = 1,039.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.