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Finding the Fourth Proportional to 665.11, 916.95 and 572.84

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Solution

The fourth proportional to 665.11, 916.95 and 572.84 is: 789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.11 : 916.95 = 572.84 : x
  2. Step 2: Convert to fraction form
    665.11/916.95 = 572.84/x
  3. Step 3: Cross multiply
    665.11x = 916.95 × 572.84
  4. Step 4: Simplify right side
    665.11x = 525,266.64
  5. Step 5: Solve for x
    x = 525,266.64/665.11
  6. Step 6: Final answer
    x = 789.74

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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.