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Finding the Fourth Proportional to 916.46, 1,264.78 and 523.50

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Solution

The fourth proportional to 916.46, 1,264.78 and 523.50 is: 722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.46 : 1,264.78 = 523.50 : x
  2. Step 2: Convert to fraction form
    916.46/1,264.78 = 523.50/x
  3. Step 3: Cross multiply
    916.46x = 1,264.78 × 523.50
  4. Step 4: Simplify right side
    916.46x = 662,112.33
  5. Step 5: Solve for x
    x = 662,112.33/916.46
  6. Step 6: Final answer
    x = 722.47

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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.