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Finding the Fourth Proportional to 1,328.94, 1,834.65 and 832.01

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Solution

The fourth proportional to 1,328.94, 1,834.65 and 832.01 is: 1,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.94 : 1,834.65 = 832.01 : x
  2. Step 2: Convert to fraction form
    1,328.94/1,834.65 = 832.01/x
  3. Step 3: Cross multiply
    1,328.94x = 1,834.65 × 832.01
  4. Step 4: Simplify right side
    1,328.94x = 1,526,437.97
  5. Step 5: Solve for x
    x = 1,526,437.97/1,328.94
  6. Step 6: Final answer
    x = 1,148.61

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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.