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Finding the Fourth Proportional to 693.47, 1,041 and 282.90

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Solution

The fourth proportional to 693.47, 1,041 and 282.90 is: 424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.47 : 1,041 = 282.90 : x
  2. Step 2: Convert to fraction form
    693.47/1,041 = 282.90/x
  3. Step 3: Cross multiply
    693.47x = 1,041 × 282.90
  4. Step 4: Simplify right side
    693.47x = 294,498.90
  5. Step 5: Solve for x
    x = 294,498.90/693.47
  6. Step 6: Final answer
    x = 424.67

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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.