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Finding the Fourth Proportional to 916.43, 1,264.74 and 523.49

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Solution

The fourth proportional to 916.43, 1,264.74 and 523.49 is: 722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.43 : 1,264.74 = 523.49 : x
  2. Step 2: Convert to fraction form
    916.43/1,264.74 = 523.49/x
  3. Step 3: Cross multiply
    916.43x = 1,264.74 × 523.49
  4. Step 4: Simplify right side
    916.43x = 662,078.74
  5. Step 5: Solve for x
    x = 662,078.74/916.43
  6. Step 6: Final answer
    x = 722.45

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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.