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Finding the Fourth Proportional to 1,058.68, 1,460.17 and 810.82

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Solution

The fourth proportional to 1,058.68, 1,460.17 and 810.82 is: 1,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.68 : 1,460.17 = 810.82 : x
  2. Step 2: Convert to fraction form
    1,058.68/1,460.17 = 810.82/x
  3. Step 3: Cross multiply
    1,058.68x = 1,460.17 × 810.82
  4. Step 4: Simplify right side
    1,058.68x = 1,183,935.04
  5. Step 5: Solve for x
    x = 1,183,935.04/1,058.68
  6. Step 6: Final answer
    x = 1,118.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.