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Finding the Fourth Proportional to 1,442.12, 1,990.01 and 852.55

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Solution

The fourth proportional to 1,442.12, 1,990.01 and 852.55 is: 1,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.12 : 1,990.01 = 852.55 : x
  2. Step 2: Convert to fraction form
    1,442.12/1,990.01 = 852.55/x
  3. Step 3: Cross multiply
    1,442.12x = 1,990.01 × 852.55
  4. Step 4: Simplify right side
    1,442.12x = 1,696,583.03
  5. Step 5: Solve for x
    x = 1,696,583.03/1,442.12
  6. Step 6: Final answer
    x = 1,176.45

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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.