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Finding the Fourth Proportional to 1,308.86, 1,804.36 and 935.71

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Solution

The fourth proportional to 1,308.86, 1,804.36 and 935.71 is: 1,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.86 : 1,804.36 = 935.71 : x
  2. Step 2: Convert to fraction form
    1,308.86/1,804.36 = 935.71/x
  3. Step 3: Cross multiply
    1,308.86x = 1,804.36 × 935.71
  4. Step 4: Simplify right side
    1,308.86x = 1,688,355.52
  5. Step 5: Solve for x
    x = 1,688,355.52/1,308.86
  6. Step 6: Final answer
    x = 1,289.94

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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.