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Finding the Fourth Proportional to 1,058.48, 1,461 and 704.44

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Solution

The fourth proportional to 1,058.48, 1,461 and 704.44 is: 972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.48 : 1,461 = 704.44 : x
  2. Step 2: Convert to fraction form
    1,058.48/1,461 = 704.44/x
  3. Step 3: Cross multiply
    1,058.48x = 1,461 × 704.44
  4. Step 4: Simplify right side
    1,058.48x = 1,029,186.84
  5. Step 5: Solve for x
    x = 1,029,186.84/1,058.48
  6. Step 6: Final answer
    x = 972.33

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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.