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Finding the Fourth Proportional to 1,153.85, 1,730.31 and 504.13

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Solution

The fourth proportional to 1,153.85, 1,730.31 and 504.13 is: 755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.85 : 1,730.31 = 504.13 : x
  2. Step 2: Convert to fraction form
    1,153.85/1,730.31 = 504.13/x
  3. Step 3: Cross multiply
    1,153.85x = 1,730.31 × 504.13
  4. Step 4: Simplify right side
    1,153.85x = 872,292.53
  5. Step 5: Solve for x
    x = 872,292.53/1,153.85
  6. Step 6: Final answer
    x = 755.98

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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.