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Finding the Fourth Proportional to 1,076.96, 1,615.38 and 1,058.72

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Solution

The fourth proportional to 1,076.96, 1,615.38 and 1,058.72 is: 1,588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.96 : 1,615.38 = 1,058.72 : x
  2. Step 2: Convert to fraction form
    1,076.96/1,615.38 = 1,058.72/x
  3. Step 3: Cross multiply
    1,076.96x = 1,615.38 × 1,058.72
  4. Step 4: Simplify right side
    1,076.96x = 1,710,235.11
  5. Step 5: Solve for x
    x = 1,710,235.11/1,076.96
  6. Step 6: Final answer
    x = 1,588.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.