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Finding the Fourth Proportional to 1,151.37, 1,725.61 and 492.47

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Solution

The fourth proportional to 1,151.37, 1,725.61 and 492.47 is: 738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.37 : 1,725.61 = 492.47 : x
  2. Step 2: Convert to fraction form
    1,151.37/1,725.61 = 492.47/x
  3. Step 3: Cross multiply
    1,151.37x = 1,725.61 × 492.47
  4. Step 4: Simplify right side
    1,151.37x = 849,820.71
  5. Step 5: Solve for x
    x = 849,820.71/1,151.37
  6. Step 6: Final answer
    x = 738.09

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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.