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Finding the Fourth Proportional to 846.89, 1,269.47 and 476.15

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Solution

The fourth proportional to 846.89, 1,269.47 and 476.15 is: 713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.89 : 1,269.47 = 476.15 : x
  2. Step 2: Convert to fraction form
    846.89/1,269.47 = 476.15/x
  3. Step 3: Cross multiply
    846.89x = 1,269.47 × 476.15
  4. Step 4: Simplify right side
    846.89x = 604,458.14
  5. Step 5: Solve for x
    x = 604,458.14/846.89
  6. Step 6: Final answer
    x = 713.74

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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.