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Finding the Fourth Proportional to 838.54, 1,156.71 and 527.50

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Solution

The fourth proportional to 838.54, 1,156.71 and 527.50 is: 727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.54 : 1,156.71 = 527.50 : x
  2. Step 2: Convert to fraction form
    838.54/1,156.71 = 527.50/x
  3. Step 3: Cross multiply
    838.54x = 1,156.71 × 527.50
  4. Step 4: Simplify right side
    838.54x = 610,164.53
  5. Step 5: Solve for x
    x = 610,164.53/838.54
  6. Step 6: Final answer
    x = 727.65

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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.