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Finding the Fourth Proportional to 1,058.91, 1,462.25 and 686.51

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Solution

The fourth proportional to 1,058.91, 1,462.25 and 686.51 is: 948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.91 : 1,462.25 = 686.51 : x
  2. Step 2: Convert to fraction form
    1,058.91/1,462.25 = 686.51/x
  3. Step 3: Cross multiply
    1,058.91x = 1,462.25 × 686.51
  4. Step 4: Simplify right side
    1,058.91x = 1,003,845.59
  5. Step 5: Solve for x
    x = 1,003,845.59/1,058.91
  6. Step 6: Final answer
    x = 948.00

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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.