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Finding the Fourth Proportional to 1,077.02, 1,615.74 and 427.76

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Solution

The fourth proportional to 1,077.02, 1,615.74 and 427.76 is: 641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.02 : 1,615.74 = 427.76 : x
  2. Step 2: Convert to fraction form
    1,077.02/1,615.74 = 427.76/x
  3. Step 3: Cross multiply
    1,077.02x = 1,615.74 × 427.76
  4. Step 4: Simplify right side
    1,077.02x = 691,148.94
  5. Step 5: Solve for x
    x = 691,148.94/1,077.02
  6. Step 6: Final answer
    x = 641.72

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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.