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Finding the Fourth Proportional to 1,153.34, 1,730.35 and 537.41

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Solution

The fourth proportional to 1,153.34, 1,730.35 and 537.41 is: 806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.34 : 1,730.35 = 537.41 : x
  2. Step 2: Convert to fraction form
    1,153.34/1,730.35 = 537.41/x
  3. Step 3: Cross multiply
    1,153.34x = 1,730.35 × 537.41
  4. Step 4: Simplify right side
    1,153.34x = 929,907.39
  5. Step 5: Solve for x
    x = 929,907.39/1,153.34
  6. Step 6: Final answer
    x = 806.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.