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Finding the Fourth Proportional to 1,328.94, 1,992.06 and 916.74

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Solution

The fourth proportional to 1,328.94, 1,992.06 and 916.74 is: 1,374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.94 : 1,992.06 = 916.74 : x
  2. Step 2: Convert to fraction form
    1,328.94/1,992.06 = 916.74/x
  3. Step 3: Cross multiply
    1,328.94x = 1,992.06 × 916.74
  4. Step 4: Simplify right side
    1,328.94x = 1,826,201.08
  5. Step 5: Solve for x
    x = 1,826,201.08/1,328.94
  6. Step 6: Final answer
    x = 1,374.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.