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Finding the Fourth Proportional to 1,154.91, 1,730.61 and 504.75

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Solution

The fourth proportional to 1,154.91, 1,730.61 and 504.75 is: 756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.91 : 1,730.61 = 504.75 : x
  2. Step 2: Convert to fraction form
    1,154.91/1,730.61 = 504.75/x
  3. Step 3: Cross multiply
    1,154.91x = 1,730.61 × 504.75
  4. Step 4: Simplify right side
    1,154.91x = 873,525.40
  5. Step 5: Solve for x
    x = 873,525.40/1,154.91
  6. Step 6: Final answer
    x = 756.36

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