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Finding the Fourth Proportional to 1,197.90, 1,652.34 and 778.08

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Solution

The fourth proportional to 1,197.90, 1,652.34 and 778.08 is: 1,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.90 : 1,652.34 = 778.08 : x
  2. Step 2: Convert to fraction form
    1,197.90/1,652.34 = 778.08/x
  3. Step 3: Cross multiply
    1,197.90x = 1,652.34 × 778.08
  4. Step 4: Simplify right side
    1,197.90x = 1,285,652.71
  5. Step 5: Solve for x
    x = 1,285,652.71/1,197.90
  6. Step 6: Final answer
    x = 1,073.26

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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.