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Finding the Fourth Proportional to 1,138.19, 1,706.83 and 444.76

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Solution

The fourth proportional to 1,138.19, 1,706.83 and 444.76 is: 666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.19 : 1,706.83 = 444.76 : x
  2. Step 2: Convert to fraction form
    1,138.19/1,706.83 = 444.76/x
  3. Step 3: Cross multiply
    1,138.19x = 1,706.83 × 444.76
  4. Step 4: Simplify right side
    1,138.19x = 759,129.71
  5. Step 5: Solve for x
    x = 759,129.71/1,138.19
  6. Step 6: Final answer
    x = 666.96

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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.