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Finding the Fourth Proportional to 1,254.46, 1,731.75 and 835.51

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Solution

The fourth proportional to 1,254.46, 1,731.75 and 835.51 is: 1,153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.46 : 1,731.75 = 835.51 : x
  2. Step 2: Convert to fraction form
    1,254.46/1,731.75 = 835.51/x
  3. Step 3: Cross multiply
    1,254.46x = 1,731.75 × 835.51
  4. Step 4: Simplify right side
    1,254.46x = 1,446,894.44
  5. Step 5: Solve for x
    x = 1,446,894.44/1,254.46
  6. Step 6: Final answer
    x = 1,153.40

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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.