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Finding the Fourth Proportional to 1,211.91, 1,815.28 and 916.16

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Solution

The fourth proportional to 1,211.91, 1,815.28 and 916.16 is: 1,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.91 : 1,815.28 = 916.16 : x
  2. Step 2: Convert to fraction form
    1,211.91/1,815.28 = 916.16/x
  3. Step 3: Cross multiply
    1,211.91x = 1,815.28 × 916.16
  4. Step 4: Simplify right side
    1,211.91x = 1,663,075.56
  5. Step 5: Solve for x
    x = 1,663,075.56/1,211.91
  6. Step 6: Final answer
    x = 1,372.28

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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.