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Finding the Fourth Proportional to 777.59, 1,073.09 and 446.10

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Solution

The fourth proportional to 777.59, 1,073.09 and 446.10 is: 615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.59 : 1,073.09 = 446.10 : x
  2. Step 2: Convert to fraction form
    777.59/1,073.09 = 446.10/x
  3. Step 3: Cross multiply
    777.59x = 1,073.09 × 446.10
  4. Step 4: Simplify right side
    777.59x = 478,703.22
  5. Step 5: Solve for x
    x = 478,703.22/777.59
  6. Step 6: Final answer
    x = 615.63

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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.