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Finding the Fourth Proportional to 1,033.50, 1,426.32 and 567.84

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Solution

The fourth proportional to 1,033.50, 1,426.32 and 567.84 is: 783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.50 : 1,426.32 = 567.84 : x
  2. Step 2: Convert to fraction form
    1,033.50/1,426.32 = 567.84/x
  3. Step 3: Cross multiply
    1,033.50x = 1,426.32 × 567.84
  4. Step 4: Simplify right side
    1,033.50x = 809,921.55
  5. Step 5: Solve for x
    x = 809,921.55/1,033.50
  6. Step 6: Final answer
    x = 783.67

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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.