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Finding the Fourth Proportional to 777.59, 1,073.07 and 428.30

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Solution

The fourth proportional to 777.59, 1,073.07 and 428.30 is: 591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.59 : 1,073.07 = 428.30 : x
  2. Step 2: Convert to fraction form
    777.59/1,073.07 = 428.30/x
  3. Step 3: Cross multiply
    777.59x = 1,073.07 × 428.30
  4. Step 4: Simplify right side
    777.59x = 459,595.88
  5. Step 5: Solve for x
    x = 459,595.88/777.59
  6. Step 6: Final answer
    x = 591.05

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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.