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Finding the Fourth Proportional to 916.22, 1,371.98 and 504.91

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Solution

The fourth proportional to 916.22, 1,371.98 and 504.91 is: 756.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.22 : 1,371.98 = 504.91 : x
  2. Step 2: Convert to fraction form
    916.22/1,371.98 = 504.91/x
  3. Step 3: Cross multiply
    916.22x = 1,371.98 × 504.91
  4. Step 4: Simplify right side
    916.22x = 692,724.25
  5. Step 5: Solve for x
    x = 692,724.25/916.22
  6. Step 6: Final answer
    x = 756.07

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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.