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Finding the Fourth Proportional to 1,035.83, 1,546.19 and 959.69

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Solution

The fourth proportional to 1,035.83, 1,546.19 and 959.69 is: 1,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.83 : 1,546.19 = 959.69 : x
  2. Step 2: Convert to fraction form
    1,035.83/1,546.19 = 959.69/x
  3. Step 3: Cross multiply
    1,035.83x = 1,546.19 × 959.69
  4. Step 4: Simplify right side
    1,035.83x = 1,483,869.35
  5. Step 5: Solve for x
    x = 1,483,869.35/1,035.83
  6. Step 6: Final answer
    x = 1,432.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.