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Finding the Fourth Proportional to 1,150.13, 1,725.20 and 500.71

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Solution

The fourth proportional to 1,150.13, 1,725.20 and 500.71 is: 751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.13 : 1,725.20 = 500.71 : x
  2. Step 2: Convert to fraction form
    1,150.13/1,725.20 = 500.71/x
  3. Step 3: Cross multiply
    1,150.13x = 1,725.20 × 500.71
  4. Step 4: Simplify right side
    1,150.13x = 863,824.89
  5. Step 5: Solve for x
    x = 863,824.89/1,150.13
  6. Step 6: Final answer
    x = 751.07

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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.