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Finding the Fourth Proportional to 916.60, 1,264.86 and 523.75

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Solution

The fourth proportional to 916.60, 1,264.86 and 523.75 is: 722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.60 : 1,264.86 = 523.75 : x
  2. Step 2: Convert to fraction form
    916.60/1,264.86 = 523.75/x
  3. Step 3: Cross multiply
    916.60x = 1,264.86 × 523.75
  4. Step 4: Simplify right side
    916.60x = 662,467.26
  5. Step 5: Solve for x
    x = 662,467.26/916.60
  6. Step 6: Final answer
    x = 722.75

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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.