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Finding the Fourth Proportional to 1,058.22, 1,587.54 and 510.78

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Solution

The fourth proportional to 1,058.22, 1,587.54 and 510.78 is: 766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.22 : 1,587.54 = 510.78 : x
  2. Step 2: Convert to fraction form
    1,058.22/1,587.54 = 510.78/x
  3. Step 3: Cross multiply
    1,058.22x = 1,587.54 × 510.78
  4. Step 4: Simplify right side
    1,058.22x = 810,883.68
  5. Step 5: Solve for x
    x = 810,883.68/1,058.22
  6. Step 6: Final answer
    x = 766.27

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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.