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Finding the Fourth Proportional to 1,310.41, 1,806.46 and 916.21

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Solution

The fourth proportional to 1,310.41, 1,806.46 and 916.21 is: 1,263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.41 : 1,806.46 = 916.21 : x
  2. Step 2: Convert to fraction form
    1,310.41/1,806.46 = 916.21/x
  3. Step 3: Cross multiply
    1,310.41x = 1,806.46 × 916.21
  4. Step 4: Simplify right side
    1,310.41x = 1,655,096.72
  5. Step 5: Solve for x
    x = 1,655,096.72/1,310.41
  6. Step 6: Final answer
    x = 1,263.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.