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Finding the Fourth Proportional to 1,398.26, 1,929.48 and 900.02

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Solution

The fourth proportional to 1,398.26, 1,929.48 and 900.02 is: 1,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.26 : 1,929.48 = 900.02 : x
  2. Step 2: Convert to fraction form
    1,398.26/1,929.48 = 900.02/x
  3. Step 3: Cross multiply
    1,398.26x = 1,929.48 × 900.02
  4. Step 4: Simplify right side
    1,398.26x = 1,736,570.59
  5. Step 5: Solve for x
    x = 1,736,570.59/1,398.26
  6. Step 6: Final answer
    x = 1,241.95

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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.