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Finding the Fourth Proportional to 1,058.10, 1,460.22 and 586.05

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Solution

The fourth proportional to 1,058.10, 1,460.22 and 586.05 is: 808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.10 : 1,460.22 = 586.05 : x
  2. Step 2: Convert to fraction form
    1,058.10/1,460.22 = 586.05/x
  3. Step 3: Cross multiply
    1,058.10x = 1,460.22 × 586.05
  4. Step 4: Simplify right side
    1,058.10x = 855,761.93
  5. Step 5: Solve for x
    x = 855,761.93/1,058.10
  6. Step 6: Final answer
    x = 808.77

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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.