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Finding the Fourth Proportional to 1,146.99, 1,582.66 and 674.79

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Solution

The fourth proportional to 1,146.99, 1,582.66 and 674.79 is: 931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.99 : 1,582.66 = 674.79 : x
  2. Step 2: Convert to fraction form
    1,146.99/1,582.66 = 674.79/x
  3. Step 3: Cross multiply
    1,146.99x = 1,582.66 × 674.79
  4. Step 4: Simplify right side
    1,146.99x = 1,067,958.05
  5. Step 5: Solve for x
    x = 1,067,958.05/1,146.99
  6. Step 6: Final answer
    x = 931.09

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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.