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Finding the Fourth Proportional to 1,253.86, 1,730.01 and 942.82

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Solution

The fourth proportional to 1,253.86, 1,730.01 and 942.82 is: 1,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.86 : 1,730.01 = 942.82 : x
  2. Step 2: Convert to fraction form
    1,253.86/1,730.01 = 942.82/x
  3. Step 3: Cross multiply
    1,253.86x = 1,730.01 × 942.82
  4. Step 4: Simplify right side
    1,253.86x = 1,631,088.03
  5. Step 5: Solve for x
    x = 1,631,088.03/1,253.86
  6. Step 6: Final answer
    x = 1,300.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.