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Finding the Fourth Proportional to 916.22, 1,264.40 and 496.58

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Solution

The fourth proportional to 916.22, 1,264.40 and 496.58 is: 685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.22 : 1,264.40 = 496.58 : x
  2. Step 2: Convert to fraction form
    916.22/1,264.40 = 496.58/x
  3. Step 3: Cross multiply
    916.22x = 1,264.40 × 496.58
  4. Step 4: Simplify right side
    916.22x = 627,875.75
  5. Step 5: Solve for x
    x = 627,875.75/916.22
  6. Step 6: Final answer
    x = 685.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.