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Finding the Fourth Proportional to 838.19, 1,156.75 and 506.63

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Solution

The fourth proportional to 838.19, 1,156.75 and 506.63 is: 699.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.19 : 1,156.75 = 506.63 : x
  2. Step 2: Convert to fraction form
    838.19/1,156.75 = 506.63/x
  3. Step 3: Cross multiply
    838.19x = 1,156.75 × 506.63
  4. Step 4: Simplify right side
    838.19x = 586,045.88
  5. Step 5: Solve for x
    x = 586,045.88/838.19
  6. Step 6: Final answer
    x = 699.18

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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.