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Finding the Fourth Proportional to 1,141.10, 1,574.24 and 905.08

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Solution

The fourth proportional to 1,141.10, 1,574.24 and 905.08 is: 1,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.10 : 1,574.24 = 905.08 : x
  2. Step 2: Convert to fraction form
    1,141.10/1,574.24 = 905.08/x
  3. Step 3: Cross multiply
    1,141.10x = 1,574.24 × 905.08
  4. Step 4: Simplify right side
    1,141.10x = 1,424,813.14
  5. Step 5: Solve for x
    x = 1,424,813.14/1,141.10
  6. Step 6: Final answer
    x = 1,248.63

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Why These Related Problems?

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