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Finding the Fourth Proportional to 1,397.35, 1,929.10 and 978.98

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Solution

The fourth proportional to 1,397.35, 1,929.10 and 978.98 is: 1,351.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.35 : 1,929.10 = 978.98 : x
  2. Step 2: Convert to fraction form
    1,397.35/1,929.10 = 978.98/x
  3. Step 3: Cross multiply
    1,397.35x = 1,929.10 × 978.98
  4. Step 4: Simplify right side
    1,397.35x = 1,888,550.32
  5. Step 5: Solve for x
    x = 1,888,550.32/1,397.35
  6. Step 6: Final answer
    x = 1,351.53

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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.