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Finding the Fourth Proportional to 1,409.12, 1,944.48 and 788

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Solution

The fourth proportional to 1,409.12, 1,944.48 and 788 is: 1,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.12 : 1,944.48 = 788 : x
  2. Step 2: Convert to fraction form
    1,409.12/1,944.48 = 788/x
  3. Step 3: Cross multiply
    1,409.12x = 1,944.48 × 788
  4. Step 4: Simplify right side
    1,409.12x = 1,532,250.24
  5. Step 5: Solve for x
    x = 1,532,250.24/1,409.12
  6. Step 6: Final answer
    x = 1,087.38

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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.