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Finding the Fourth Proportional to 1,058.00, 1,460.20 and 779.69

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Solution

The fourth proportional to 1,058.00, 1,460.20 and 779.69 is: 1,076.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.00 : 1,460.20 = 779.69 : x
  2. Step 2: Convert to fraction form
    1,058.00/1,460.20 = 779.69/x
  3. Step 3: Cross multiply
    1,058.00x = 1,460.20 × 779.69
  4. Step 4: Simplify right side
    1,058.00x = 1,138,502.53
  5. Step 5: Solve for x
    x = 1,138,502.53/1,058.00
  6. Step 6: Final answer
    x = 1,076.09

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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.