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Finding the Fourth Proportional to 837.84, 1,156.33 and 488.53

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Solution

The fourth proportional to 837.84, 1,156.33 and 488.53 is: 674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.84 : 1,156.33 = 488.53 : x
  2. Step 2: Convert to fraction form
    837.84/1,156.33 = 488.53/x
  3. Step 3: Cross multiply
    837.84x = 1,156.33 × 488.53
  4. Step 4: Simplify right side
    837.84x = 564,903.95
  5. Step 5: Solve for x
    x = 564,903.95/837.84
  6. Step 6: Final answer
    x = 674.24

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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.