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Finding the Fourth Proportional to 1,058.09, 1,585.98 and 442.13

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Solution

The fourth proportional to 1,058.09, 1,585.98 and 442.13 is: 662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.09 : 1,585.98 = 442.13 : x
  2. Step 2: Convert to fraction form
    1,058.09/1,585.98 = 442.13/x
  3. Step 3: Cross multiply
    1,058.09x = 1,585.98 × 442.13
  4. Step 4: Simplify right side
    1,058.09x = 701,201.41
  5. Step 5: Solve for x
    x = 701,201.41/1,058.09
  6. Step 6: Final answer
    x = 662.71

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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.