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Finding the Fourth Proportional to 1,077.76, 1,617.18 and 429.76

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Solution

The fourth proportional to 1,077.76, 1,617.18 and 429.76 is: 644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.76 : 1,617.18 = 429.76 : x
  2. Step 2: Convert to fraction form
    1,077.76/1,617.18 = 429.76/x
  3. Step 3: Cross multiply
    1,077.76x = 1,617.18 × 429.76
  4. Step 4: Simplify right side
    1,077.76x = 694,999.28
  5. Step 5: Solve for x
    x = 694,999.28/1,077.76
  6. Step 6: Final answer
    x = 644.86

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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.