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Finding the Fourth Proportional to 837.84, 1,156.72 and 506.40

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Solution

The fourth proportional to 837.84, 1,156.72 and 506.40 is: 699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.84 : 1,156.72 = 506.40 : x
  2. Step 2: Convert to fraction form
    837.84/1,156.72 = 506.40/x
  3. Step 3: Cross multiply
    837.84x = 1,156.72 × 506.40
  4. Step 4: Simplify right side
    837.84x = 585,763.01
  5. Step 5: Solve for x
    x = 585,763.01/837.84
  6. Step 6: Final answer
    x = 699.13

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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.