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Finding the Fourth Proportional to 916.16, 1,372.38 and 784.94

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Solution

The fourth proportional to 916.16, 1,372.38 and 784.94 is: 1,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.16 : 1,372.38 = 784.94 : x
  2. Step 2: Convert to fraction form
    916.16/1,372.38 = 784.94/x
  3. Step 3: Cross multiply
    916.16x = 1,372.38 × 784.94
  4. Step 4: Simplify right side
    916.16x = 1,077,235.96
  5. Step 5: Solve for x
    x = 1,077,235.96/916.16
  6. Step 6: Final answer
    x = 1,175.82

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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.