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Finding the Fourth Proportional to 1,197.52, 1,795.06 and 734.00

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Solution

The fourth proportional to 1,197.52, 1,795.06 and 734.00 is: 1,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.52 : 1,795.06 = 734.00 : x
  2. Step 2: Convert to fraction form
    1,197.52/1,795.06 = 734.00/x
  3. Step 3: Cross multiply
    1,197.52x = 1,795.06 × 734.00
  4. Step 4: Simplify right side
    1,197.52x = 1,317,565.98
  5. Step 5: Solve for x
    x = 1,317,565.98/1,197.52
  6. Step 6: Final answer
    x = 1,100.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.