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Finding the Fourth Proportional to 988.44, 1,364.16 and 739.32

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Solution

The fourth proportional to 988.44, 1,364.16 and 739.32 is: 1,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.44 : 1,364.16 = 739.32 : x
  2. Step 2: Convert to fraction form
    988.44/1,364.16 = 739.32/x
  3. Step 3: Cross multiply
    988.44x = 1,364.16 × 739.32
  4. Step 4: Simplify right side
    988.44x = 1,008,550.77
  5. Step 5: Solve for x
    x = 1,008,550.77/988.44
  6. Step 6: Final answer
    x = 1,020.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.