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Finding the Fourth Proportional to 1,773.19, 2,659.74 and 474.66

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Solution

The fourth proportional to 1,773.19, 2,659.74 and 474.66 is: 711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.19 : 2,659.74 = 474.66 : x
  2. Step 2: Convert to fraction form
    1,773.19/2,659.74 = 474.66/x
  3. Step 3: Cross multiply
    1,773.19x = 2,659.74 × 474.66
  4. Step 4: Simplify right side
    1,773.19x = 1,262,470.41
  5. Step 5: Solve for x
    x = 1,262,470.41/1,773.19
  6. Step 6: Final answer
    x = 711.98

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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.