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Finding the Fourth Proportional to 1,146.83, 1,582.66 and 622.86

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Solution

The fourth proportional to 1,146.83, 1,582.66 and 622.86 is: 859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.83 : 1,582.66 = 622.86 : x
  2. Step 2: Convert to fraction form
    1,146.83/1,582.66 = 622.86/x
  3. Step 3: Cross multiply
    1,146.83x = 1,582.66 × 622.86
  4. Step 4: Simplify right side
    1,146.83x = 985,775.61
  5. Step 5: Solve for x
    x = 985,775.61/1,146.83
  6. Step 6: Final answer
    x = 859.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.