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Finding the Fourth Proportional to 827.14, 1,140.30 and 677.24

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Solution

The fourth proportional to 827.14, 1,140.30 and 677.24 is: 933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.14 : 1,140.30 = 677.24 : x
  2. Step 2: Convert to fraction form
    827.14/1,140.30 = 677.24/x
  3. Step 3: Cross multiply
    827.14x = 1,140.30 × 677.24
  4. Step 4: Simplify right side
    827.14x = 772,256.77
  5. Step 5: Solve for x
    x = 772,256.77/827.14
  6. Step 6: Final answer
    x = 933.65

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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.