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Finding the Fourth Proportional to 1,027.74, 1,541.70 and 369.76

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Solution

The fourth proportional to 1,027.74, 1,541.70 and 369.76 is: 554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.74 : 1,541.70 = 369.76 : x
  2. Step 2: Convert to fraction form
    1,027.74/1,541.70 = 369.76/x
  3. Step 3: Cross multiply
    1,027.74x = 1,541.70 × 369.76
  4. Step 4: Simplify right side
    1,027.74x = 570,058.99
  5. Step 5: Solve for x
    x = 570,058.99/1,027.74
  6. Step 6: Final answer
    x = 554.67

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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.