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Finding the Fourth Proportional to 1,146.96, 1,582.85 and 674.86

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Solution

The fourth proportional to 1,146.96, 1,582.85 and 674.86 is: 931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.96 : 1,582.85 = 674.86 : x
  2. Step 2: Convert to fraction form
    1,146.96/1,582.85 = 674.86/x
  3. Step 3: Cross multiply
    1,146.96x = 1,582.85 × 674.86
  4. Step 4: Simplify right side
    1,146.96x = 1,068,202.15
  5. Step 5: Solve for x
    x = 1,068,202.15/1,146.96
  6. Step 6: Final answer
    x = 931.33

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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.