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Finding the Fourth Proportional to 1,058.36, 1,588.08 and 799.94

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Solution

The fourth proportional to 1,058.36, 1,588.08 and 799.94 is: 1,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.36 : 1,588.08 = 799.94 : x
  2. Step 2: Convert to fraction form
    1,058.36/1,588.08 = 799.94/x
  3. Step 3: Cross multiply
    1,058.36x = 1,588.08 × 799.94
  4. Step 4: Simplify right side
    1,058.36x = 1,270,360.77
  5. Step 5: Solve for x
    x = 1,270,360.77/1,058.36
  6. Step 6: Final answer
    x = 1,200.31

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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.