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Finding the Fourth Proportional to 1,058.52, 1,460.79 and 586.45

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Solution

The fourth proportional to 1,058.52, 1,460.79 and 586.45 is: 809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.52 : 1,460.79 = 586.45 : x
  2. Step 2: Convert to fraction form
    1,058.52/1,460.79 = 586.45/x
  3. Step 3: Cross multiply
    1,058.52x = 1,460.79 × 586.45
  4. Step 4: Simplify right side
    1,058.52x = 856,680.30
  5. Step 5: Solve for x
    x = 856,680.30/1,058.52
  6. Step 6: Final answer
    x = 809.32

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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.