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Finding the Fourth Proportional to 1,134.75, 1,701.81 and 312.83

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Solution

The fourth proportional to 1,134.75, 1,701.81 and 312.83 is: 469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.75 : 1,701.81 = 312.83 : x
  2. Step 2: Convert to fraction form
    1,134.75/1,701.81 = 312.83/x
  3. Step 3: Cross multiply
    1,134.75x = 1,701.81 × 312.83
  4. Step 4: Simplify right side
    1,134.75x = 532,377.22
  5. Step 5: Solve for x
    x = 532,377.22/1,134.75
  6. Step 6: Final answer
    x = 469.16

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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.