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Finding the Fourth Proportional to 1,098.46, 1,639.85 and 1,060.01

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Solution

The fourth proportional to 1,098.46, 1,639.85 and 1,060.01 is: 1,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.46 : 1,639.85 = 1,060.01 : x
  2. Step 2: Convert to fraction form
    1,098.46/1,639.85 = 1,060.01/x
  3. Step 3: Cross multiply
    1,098.46x = 1,639.85 × 1,060.01
  4. Step 4: Simplify right side
    1,098.46x = 1,738,257.40
  5. Step 5: Solve for x
    x = 1,738,257.40/1,098.46
  6. Step 6: Final answer
    x = 1,582.46

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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.