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Finding the Fourth Proportional to 1,267.82, 1,901.49 and 390.08

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Solution

The fourth proportional to 1,267.82, 1,901.49 and 390.08 is: 585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.82 : 1,901.49 = 390.08 : x
  2. Step 2: Convert to fraction form
    1,267.82/1,901.49 = 390.08/x
  3. Step 3: Cross multiply
    1,267.82x = 1,901.49 × 390.08
  4. Step 4: Simplify right side
    1,267.82x = 741,733.22
  5. Step 5: Solve for x
    x = 741,733.22/1,267.82
  6. Step 6: Final answer
    x = 585.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.