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Finding the Fourth Proportional to 1,153.74, 1,730.87 and 331.95

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Solution

The fourth proportional to 1,153.74, 1,730.87 and 331.95 is: 498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.74 : 1,730.87 = 331.95 : x
  2. Step 2: Convert to fraction form
    1,153.74/1,730.87 = 331.95/x
  3. Step 3: Cross multiply
    1,153.74x = 1,730.87 × 331.95
  4. Step 4: Simplify right side
    1,153.74x = 574,562.30
  5. Step 5: Solve for x
    x = 574,562.30/1,153.74
  6. Step 6: Final answer
    x = 498.00

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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.