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Finding the Fourth Proportional to 1,029.41, 1,542.67 and 480.23

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Solution

The fourth proportional to 1,029.41, 1,542.67 and 480.23 is: 719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.41 : 1,542.67 = 480.23 : x
  2. Step 2: Convert to fraction form
    1,029.41/1,542.67 = 480.23/x
  3. Step 3: Cross multiply
    1,029.41x = 1,542.67 × 480.23
  4. Step 4: Simplify right side
    1,029.41x = 740,827.50
  5. Step 5: Solve for x
    x = 740,827.50/1,029.41
  6. Step 6: Final answer
    x = 719.67

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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.