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Finding the Fourth Proportional to 673.15, 1,008.64 and 565.15

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Solution

The fourth proportional to 673.15, 1,008.64 and 565.15 is: 846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.15 : 1,008.64 = 565.15 : x
  2. Step 2: Convert to fraction form
    673.15/1,008.64 = 565.15/x
  3. Step 3: Cross multiply
    673.15x = 1,008.64 × 565.15
  4. Step 4: Simplify right side
    673.15x = 570,032.90
  5. Step 5: Solve for x
    x = 570,032.90/673.15
  6. Step 6: Final answer
    x = 846.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.