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Finding the Fourth Proportional to 673.96, 931.14 and 563.08

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Solution

The fourth proportional to 673.96, 931.14 and 563.08 is: 777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.96 : 931.14 = 563.08 : x
  2. Step 2: Convert to fraction form
    673.96/931.14 = 563.08/x
  3. Step 3: Cross multiply
    673.96x = 931.14 × 563.08
  4. Step 4: Simplify right side
    673.96x = 524,306.31
  5. Step 5: Solve for x
    x = 524,306.31/673.96
  6. Step 6: Final answer
    x = 777.95

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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.