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Finding the Fourth Proportional to 1,399.94, 1,929.24 and 1,006.28

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Solution

The fourth proportional to 1,399.94, 1,929.24 and 1,006.28 is: 1,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.94 : 1,929.24 = 1,006.28 : x
  2. Step 2: Convert to fraction form
    1,399.94/1,929.24 = 1,006.28/x
  3. Step 3: Cross multiply
    1,399.94x = 1,929.24 × 1,006.28
  4. Step 4: Simplify right side
    1,399.94x = 1,941,355.63
  5. Step 5: Solve for x
    x = 1,941,355.63/1,399.94
  6. Step 6: Final answer
    x = 1,386.74

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