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Finding the Fourth Proportional to 1,398.49, 1,926.57 and 978.05

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Solution

The fourth proportional to 1,398.49, 1,926.57 and 978.05 is: 1,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.49 : 1,926.57 = 978.05 : x
  2. Step 2: Convert to fraction form
    1,398.49/1,926.57 = 978.05/x
  3. Step 3: Cross multiply
    1,398.49x = 1,926.57 × 978.05
  4. Step 4: Simplify right side
    1,398.49x = 1,884,281.79
  5. Step 5: Solve for x
    x = 1,884,281.79/1,398.49
  6. Step 6: Final answer
    x = 1,347.37

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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.