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Finding the Fourth Proportional to 1,153.64, 1,730.46 and 504.21

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Solution

The fourth proportional to 1,153.64, 1,730.46 and 504.21 is: 756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.64 : 1,730.46 = 504.21 : x
  2. Step 2: Convert to fraction form
    1,153.64/1,730.46 = 504.21/x
  3. Step 3: Cross multiply
    1,153.64x = 1,730.46 × 504.21
  4. Step 4: Simplify right side
    1,153.64x = 872,515.24
  5. Step 5: Solve for x
    x = 872,515.24/1,153.64
  6. Step 6: Final answer
    x = 756.32

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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.