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Finding the Fourth Proportional to 1,150.07, 1,725.27 and 369.82

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Solution

The fourth proportional to 1,150.07, 1,725.27 and 369.82 is: 554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.07 : 1,725.27 = 369.82 : x
  2. Step 2: Convert to fraction form
    1,150.07/1,725.27 = 369.82/x
  3. Step 3: Cross multiply
    1,150.07x = 1,725.27 × 369.82
  4. Step 4: Simplify right side
    1,150.07x = 638,030.42
  5. Step 5: Solve for x
    x = 638,030.42/1,150.07
  6. Step 6: Final answer
    x = 554.77

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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.