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Finding the Fourth Proportional to 944.16, 1,409.96 and 895.56

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Solution

The fourth proportional to 944.16, 1,409.96 and 895.56 is: 1,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.16 : 1,409.96 = 895.56 : x
  2. Step 2: Convert to fraction form
    944.16/1,409.96 = 895.56/x
  3. Step 3: Cross multiply
    944.16x = 1,409.96 × 895.56
  4. Step 4: Simplify right side
    944.16x = 1,262,703.78
  5. Step 5: Solve for x
    x = 1,262,703.78/944.16
  6. Step 6: Final answer
    x = 1,337.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.