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Finding the Fourth Proportional to 1,058.49, 1,460.67 and 586.35

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Solution

The fourth proportional to 1,058.49, 1,460.67 and 586.35 is: 809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.49 : 1,460.67 = 586.35 : x
  2. Step 2: Convert to fraction form
    1,058.49/1,460.67 = 586.35/x
  3. Step 3: Cross multiply
    1,058.49x = 1,460.67 × 586.35
  4. Step 4: Simplify right side
    1,058.49x = 856,463.85
  5. Step 5: Solve for x
    x = 856,463.85/1,058.49
  6. Step 6: Final answer
    x = 809.14

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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.