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Finding the Fourth Proportional to 1,058.06, 1,586.17 and 509.48

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Solution

The fourth proportional to 1,058.06, 1,586.17 and 509.48 is: 763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.06 : 1,586.17 = 509.48 : x
  2. Step 2: Convert to fraction form
    1,058.06/1,586.17 = 509.48/x
  3. Step 3: Cross multiply
    1,058.06x = 1,586.17 × 509.48
  4. Step 4: Simplify right side
    1,058.06x = 808,124.58
  5. Step 5: Solve for x
    x = 808,124.58/1,058.06
  6. Step 6: Final answer
    x = 763.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.