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Finding the Fourth Proportional to 944.42, 1,407.05 and 897.95

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Solution

The fourth proportional to 944.42, 1,407.05 and 897.95 is: 1,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.42 : 1,407.05 = 897.95 : x
  2. Step 2: Convert to fraction form
    944.42/1,407.05 = 897.95/x
  3. Step 3: Cross multiply
    944.42x = 1,407.05 × 897.95
  4. Step 4: Simplify right side
    944.42x = 1,263,449.02
  5. Step 5: Solve for x
    x = 1,263,449.02/944.42
  6. Step 6: Final answer
    x = 1,337.81

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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.