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Finding the Fourth Proportional to 1,058.83, 1,461.09 and 616.57

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Solution

The fourth proportional to 1,058.83, 1,461.09 and 616.57 is: 850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.83 : 1,461.09 = 616.57 : x
  2. Step 2: Convert to fraction form
    1,058.83/1,461.09 = 616.57/x
  3. Step 3: Cross multiply
    1,058.83x = 1,461.09 × 616.57
  4. Step 4: Simplify right side
    1,058.83x = 900,864.26
  5. Step 5: Solve for x
    x = 900,864.26/1,058.83
  6. Step 6: Final answer
    x = 850.81

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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.