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Finding the Fourth Proportional to 1,146.71, 1,582.46 and 622.75

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Solution

The fourth proportional to 1,146.71, 1,582.46 and 622.75 is: 859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.71 : 1,582.46 = 622.75 : x
  2. Step 2: Convert to fraction form
    1,146.71/1,582.46 = 622.75/x
  3. Step 3: Cross multiply
    1,146.71x = 1,582.46 × 622.75
  4. Step 4: Simplify right side
    1,146.71x = 985,465.94
  5. Step 5: Solve for x
    x = 985,465.94/1,146.71
  6. Step 6: Final answer
    x = 859.39

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1.5x scale

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.