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Finding the Fourth Proportional to 1,096.55, 1,637.00 and 1,058.10

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Solution

The fourth proportional to 1,096.55, 1,637.00 and 1,058.10 is: 1,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.55 : 1,637.00 = 1,058.10 : x
  2. Step 2: Convert to fraction form
    1,096.55/1,637.00 = 1,058.10/x
  3. Step 3: Cross multiply
    1,096.55x = 1,637.00 × 1,058.10
  4. Step 4: Simplify right side
    1,096.55x = 1,732,105.21
  5. Step 5: Solve for x
    x = 1,732,105.21/1,096.55
  6. Step 6: Final answer
    x = 1,579.60

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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.