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Finding the Fourth Proportional to 1,442.25, 1,989.57 and 944.91

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Solution

The fourth proportional to 1,442.25, 1,989.57 and 944.91 is: 1,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.25 : 1,989.57 = 944.91 : x
  2. Step 2: Convert to fraction form
    1,442.25/1,989.57 = 944.91/x
  3. Step 3: Cross multiply
    1,442.25x = 1,989.57 × 944.91
  4. Step 4: Simplify right side
    1,442.25x = 1,879,964.59
  5. Step 5: Solve for x
    x = 1,879,964.59/1,442.25
  6. Step 6: Final answer
    x = 1,303.49

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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.