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Finding the Fourth Proportional to 1,058.44, 1,460.62 and 586.36

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Solution

The fourth proportional to 1,058.44, 1,460.62 and 586.36 is: 809.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.44 : 1,460.62 = 586.36 : x
  2. Step 2: Convert to fraction form
    1,058.44/1,460.62 = 586.36/x
  3. Step 3: Cross multiply
    1,058.44x = 1,460.62 × 586.36
  4. Step 4: Simplify right side
    1,058.44x = 856,449.14
  5. Step 5: Solve for x
    x = 856,449.14/1,058.44
  6. Step 6: Final answer
    x = 809.16

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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.