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Finding the Fourth Proportional to 916.64, 1,264.97 and 523.67

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Solution

The fourth proportional to 916.64, 1,264.97 and 523.67 is: 722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.64 : 1,264.97 = 523.67 : x
  2. Step 2: Convert to fraction form
    916.64/1,264.97 = 523.67/x
  3. Step 3: Cross multiply
    916.64x = 1,264.97 × 523.67
  4. Step 4: Simplify right side
    916.64x = 662,418.88
  5. Step 5: Solve for x
    x = 662,418.88/916.64
  6. Step 6: Final answer
    x = 722.66

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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.