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Finding the Fourth Proportional to 1,058.31, 1,586.97 and 510.66

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Solution

The fourth proportional to 1,058.31, 1,586.97 and 510.66 is: 765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.31 : 1,586.97 = 510.66 : x
  2. Step 2: Convert to fraction form
    1,058.31/1,586.97 = 510.66/x
  3. Step 3: Cross multiply
    1,058.31x = 1,586.97 × 510.66
  4. Step 4: Simplify right side
    1,058.31x = 810,402.10
  5. Step 5: Solve for x
    x = 810,402.10/1,058.31
  6. Step 6: Final answer
    x = 765.75

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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.