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Finding the Fourth Proportional to 1,254.09, 1,731.24 and 835.14

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Solution

The fourth proportional to 1,254.09, 1,731.24 and 835.14 is: 1,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.09 : 1,731.24 = 835.14 : x
  2. Step 2: Convert to fraction form
    1,254.09/1,731.24 = 835.14/x
  3. Step 3: Cross multiply
    1,254.09x = 1,731.24 × 835.14
  4. Step 4: Simplify right side
    1,254.09x = 1,445,827.77
  5. Step 5: Solve for x
    x = 1,445,827.77/1,254.09
  6. Step 6: Final answer
    x = 1,152.89

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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.