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Finding the Fourth Proportional to 916.95, 1,265.63 and 567.44

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Solution

The fourth proportional to 916.95, 1,265.63 and 567.44 is: 783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.95 : 1,265.63 = 567.44 : x
  2. Step 2: Convert to fraction form
    916.95/1,265.63 = 567.44/x
  3. Step 3: Cross multiply
    916.95x = 1,265.63 × 567.44
  4. Step 4: Simplify right side
    916.95x = 718,169.09
  5. Step 5: Solve for x
    x = 718,169.09/916.95
  6. Step 6: Final answer
    x = 783.22

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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.