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Finding the Fourth Proportional to 1,138.99, 1,705.83 and 876.91

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Solution

The fourth proportional to 1,138.99, 1,705.83 and 876.91 is: 1,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.99 : 1,705.83 = 876.91 : x
  2. Step 2: Convert to fraction form
    1,138.99/1,705.83 = 876.91/x
  3. Step 3: Cross multiply
    1,138.99x = 1,705.83 × 876.91
  4. Step 4: Simplify right side
    1,138.99x = 1,495,853.93
  5. Step 5: Solve for x
    x = 1,495,853.93/1,138.99
  6. Step 6: Final answer
    x = 1,313.32

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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.