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Finding the Fourth Proportional to 916.23, 1,264.39 and 496.58

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Solution

The fourth proportional to 916.23, 1,264.39 and 496.58 is: 685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.23 : 1,264.39 = 496.58 : x
  2. Step 2: Convert to fraction form
    916.23/1,264.39 = 496.58/x
  3. Step 3: Cross multiply
    916.23x = 1,264.39 × 496.58
  4. Step 4: Simplify right side
    916.23x = 627,865.71
  5. Step 5: Solve for x
    x = 627,865.71/916.23
  6. Step 6: Final answer
    x = 685.27

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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.