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Finding the Fourth Proportional to 1,058.48, 1,460.68 and 586.37

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Solution

The fourth proportional to 1,058.48, 1,460.68 and 586.37 is: 809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.48 : 1,460.68 = 586.37 : x
  2. Step 2: Convert to fraction form
    1,058.48/1,460.68 = 586.37/x
  3. Step 3: Cross multiply
    1,058.48x = 1,460.68 × 586.37
  4. Step 4: Simplify right side
    1,058.48x = 856,490.16
  5. Step 5: Solve for x
    x = 856,490.16/1,058.48
  6. Step 6: Final answer
    x = 809.17

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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.