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Finding the Fourth Proportional to 833.14, 1,148.47 and 685.52

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Solution

The fourth proportional to 833.14, 1,148.47 and 685.52 is: 944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.14 : 1,148.47 = 685.52 : x
  2. Step 2: Convert to fraction form
    833.14/1,148.47 = 685.52/x
  3. Step 3: Cross multiply
    833.14x = 1,148.47 × 685.52
  4. Step 4: Simplify right side
    833.14x = 787,299.15
  5. Step 5: Solve for x
    x = 787,299.15/833.14
  6. Step 6: Final answer
    x = 944.98

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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.