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Finding the Fourth Proportional to 1,197.98, 1,652.63 and 778.40

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Solution

The fourth proportional to 1,197.98, 1,652.63 and 778.40 is: 1,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.98 : 1,652.63 = 778.40 : x
  2. Step 2: Convert to fraction form
    1,197.98/1,652.63 = 778.40/x
  3. Step 3: Cross multiply
    1,197.98x = 1,652.63 × 778.40
  4. Step 4: Simplify right side
    1,197.98x = 1,286,407.19
  5. Step 5: Solve for x
    x = 1,286,407.19/1,197.98
  6. Step 6: Final answer
    x = 1,073.81

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Why These Related Problems?

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