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Finding the Fourth Proportional to 1,150.05, 1,725.36 and 370.07

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Solution

The fourth proportional to 1,150.05, 1,725.36 and 370.07 is: 555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.05 : 1,725.36 = 370.07 : x
  2. Step 2: Convert to fraction form
    1,150.05/1,725.36 = 370.07/x
  3. Step 3: Cross multiply
    1,150.05x = 1,725.36 × 370.07
  4. Step 4: Simplify right side
    1,150.05x = 638,503.98
  5. Step 5: Solve for x
    x = 638,503.98/1,150.05
  6. Step 6: Final answer
    x = 555.20

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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.