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Finding the Fourth Proportional to 1,058.06, 1,460.19 and 585.97

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Solution

The fourth proportional to 1,058.06, 1,460.19 and 585.97 is: 808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.06 : 1,460.19 = 585.97 : x
  2. Step 2: Convert to fraction form
    1,058.06/1,460.19 = 585.97/x
  3. Step 3: Cross multiply
    1,058.06x = 1,460.19 × 585.97
  4. Step 4: Simplify right side
    1,058.06x = 855,627.53
  5. Step 5: Solve for x
    x = 855,627.53/1,058.06
  6. Step 6: Final answer
    x = 808.68

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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.