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Finding the Fourth Proportional to 846.15, 1,268.36 and 571.59

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Solution

The fourth proportional to 846.15, 1,268.36 and 571.59 is: 856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.15 : 1,268.36 = 571.59 : x
  2. Step 2: Convert to fraction form
    846.15/1,268.36 = 571.59/x
  3. Step 3: Cross multiply
    846.15x = 1,268.36 × 571.59
  4. Step 4: Simplify right side
    846.15x = 724,981.89
  5. Step 5: Solve for x
    x = 724,981.89/846.15
  6. Step 6: Final answer
    x = 856.80

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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.