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Finding the Fourth Proportional to 1,058.42, 1,460.94 and 685.41

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Solution

The fourth proportional to 1,058.42, 1,460.94 and 685.41 is: 946.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.42 : 1,460.94 = 685.41 : x
  2. Step 2: Convert to fraction form
    1,058.42/1,460.94 = 685.41/x
  3. Step 3: Cross multiply
    1,058.42x = 1,460.94 × 685.41
  4. Step 4: Simplify right side
    1,058.42x = 1,001,342.89
  5. Step 5: Solve for x
    x = 1,001,342.89/1,058.42
  6. Step 6: Final answer
    x = 946.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.