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Finding the Fourth Proportional to 1,033.29, 1,549.78 and 302.67

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Solution

The fourth proportional to 1,033.29, 1,549.78 and 302.67 is: 453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.29 : 1,549.78 = 302.67 : x
  2. Step 2: Convert to fraction form
    1,033.29/1,549.78 = 302.67/x
  3. Step 3: Cross multiply
    1,033.29x = 1,549.78 × 302.67
  4. Step 4: Simplify right side
    1,033.29x = 469,072.86
  5. Step 5: Solve for x
    x = 469,072.86/1,033.29
  6. Step 6: Final answer
    x = 453.96

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Why These Related Problems?

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