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Finding the Fourth Proportional to 1,391.89, 1,920.47 and 832.57

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Solution

The fourth proportional to 1,391.89, 1,920.47 and 832.57 is: 1,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.89 : 1,920.47 = 832.57 : x
  2. Step 2: Convert to fraction form
    1,391.89/1,920.47 = 832.57/x
  3. Step 3: Cross multiply
    1,391.89x = 1,920.47 × 832.57
  4. Step 4: Simplify right side
    1,391.89x = 1,598,925.71
  5. Step 5: Solve for x
    x = 1,598,925.71/1,391.89
  6. Step 6: Final answer
    x = 1,148.74

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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.