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Finding the Fourth Proportional to 1,437.15, 1,983.24 and 905.93

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Solution

The fourth proportional to 1,437.15, 1,983.24 and 905.93 is: 1,250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.15 : 1,983.24 = 905.93 : x
  2. Step 2: Convert to fraction form
    1,437.15/1,983.24 = 905.93/x
  3. Step 3: Cross multiply
    1,437.15x = 1,983.24 × 905.93
  4. Step 4: Simplify right side
    1,437.15x = 1,796,666.70
  5. Step 5: Solve for x
    x = 1,796,666.70/1,437.15
  6. Step 6: Final answer
    x = 1,250.16

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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.