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Finding the Fourth Proportional to 738.72, 1,106.64 and 567.36

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Solution

The fourth proportional to 738.72, 1,106.64 and 567.36 is: 849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.72 : 1,106.64 = 567.36 : x
  2. Step 2: Convert to fraction form
    738.72/1,106.64 = 567.36/x
  3. Step 3: Cross multiply
    738.72x = 1,106.64 × 567.36
  4. Step 4: Simplify right side
    738.72x = 627,863.27
  5. Step 5: Solve for x
    x = 627,863.27/738.72
  6. Step 6: Final answer
    x = 849.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.