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Finding the Fourth Proportional to 1,254.35, 1,873.89 and 900.14

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Solution

The fourth proportional to 1,254.35, 1,873.89 and 900.14 is: 1,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.35 : 1,873.89 = 900.14 : x
  2. Step 2: Convert to fraction form
    1,254.35/1,873.89 = 900.14/x
  3. Step 3: Cross multiply
    1,254.35x = 1,873.89 × 900.14
  4. Step 4: Simplify right side
    1,254.35x = 1,686,753.98
  5. Step 5: Solve for x
    x = 1,686,753.98/1,254.35
  6. Step 6: Final answer
    x = 1,344.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.