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Finding the Fourth Proportional to 1,156.02, 1,733.60 and 539.60

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Solution

The fourth proportional to 1,156.02, 1,733.60 and 539.60 is: 809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.02 : 1,733.60 = 539.60 : x
  2. Step 2: Convert to fraction form
    1,156.02/1,733.60 = 539.60/x
  3. Step 3: Cross multiply
    1,156.02x = 1,733.60 × 539.60
  4. Step 4: Simplify right side
    1,156.02x = 935,450.56
  5. Step 5: Solve for x
    x = 935,450.56/1,156.02
  6. Step 6: Final answer
    x = 809.20

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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.