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Finding the Fourth Proportional to 838.37, 1,156.92 and 506.77

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Solution

The fourth proportional to 838.37, 1,156.92 and 506.77 is: 699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.37 : 1,156.92 = 506.77 : x
  2. Step 2: Convert to fraction form
    838.37/1,156.92 = 506.77/x
  3. Step 3: Cross multiply
    838.37x = 1,156.92 × 506.77
  4. Step 4: Simplify right side
    838.37x = 586,292.35
  5. Step 5: Solve for x
    x = 586,292.35/838.37
  6. Step 6: Final answer
    x = 699.32

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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.