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Finding the Fourth Proportional to 916.41, 1,264.68 and 523.47

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Solution

The fourth proportional to 916.41, 1,264.68 and 523.47 is: 722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.41 : 1,264.68 = 523.47 : x
  2. Step 2: Convert to fraction form
    916.41/1,264.68 = 523.47/x
  3. Step 3: Cross multiply
    916.41x = 1,264.68 × 523.47
  4. Step 4: Simplify right side
    916.41x = 662,022.04
  5. Step 5: Solve for x
    x = 662,022.04/916.41
  6. Step 6: Final answer
    x = 722.41

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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.