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Finding the Fourth Proportional to 1,776.24, 2,663.46 and 543.30

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Solution

The fourth proportional to 1,776.24, 2,663.46 and 543.30 is: 814.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.24 : 2,663.46 = 543.30 : x
  2. Step 2: Convert to fraction form
    1,776.24/2,663.46 = 543.30/x
  3. Step 3: Cross multiply
    1,776.24x = 2,663.46 × 543.30
  4. Step 4: Simplify right side
    1,776.24x = 1,447,057.82
  5. Step 5: Solve for x
    x = 1,447,057.82/1,776.24
  6. Step 6: Final answer
    x = 814.67

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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.