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Finding the Fourth Proportional to 774.86, 1,069.19 and 476.25

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Solution

The fourth proportional to 774.86, 1,069.19 and 476.25 is: 657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.86 : 1,069.19 = 476.25 : x
  2. Step 2: Convert to fraction form
    774.86/1,069.19 = 476.25/x
  3. Step 3: Cross multiply
    774.86x = 1,069.19 × 476.25
  4. Step 4: Simplify right side
    774.86x = 509,199.36
  5. Step 5: Solve for x
    x = 509,199.36/774.86
  6. Step 6: Final answer
    x = 657.15

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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.