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Finding the Fourth Proportional to 1,058.86, 1,581.85 and 685.63

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Solution

The fourth proportional to 1,058.86, 1,581.85 and 685.63 is: 1,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.86 : 1,581.85 = 685.63 : x
  2. Step 2: Convert to fraction form
    1,058.86/1,581.85 = 685.63/x
  3. Step 3: Cross multiply
    1,058.86x = 1,581.85 × 685.63
  4. Step 4: Simplify right side
    1,058.86x = 1,084,561.90
  5. Step 5: Solve for x
    x = 1,084,561.90/1,058.86
  6. Step 6: Final answer
    x = 1,024.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.