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Finding the Fourth Proportional to 1,405.73, 1,939.88 and 776.24

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Solution

The fourth proportional to 1,405.73, 1,939.88 and 776.24 is: 1,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.73 : 1,939.88 = 776.24 : x
  2. Step 2: Convert to fraction form
    1,405.73/1,939.88 = 776.24/x
  3. Step 3: Cross multiply
    1,405.73x = 1,939.88 × 776.24
  4. Step 4: Simplify right side
    1,405.73x = 1,505,798.87
  5. Step 5: Solve for x
    x = 1,505,798.87/1,405.73
  6. Step 6: Final answer
    x = 1,071.19

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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.