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Finding the Fourth Proportional to 1,197.32, 1,795.82 and 467.40

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Solution

The fourth proportional to 1,197.32, 1,795.82 and 467.40 is: 701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.32 : 1,795.82 = 467.40 : x
  2. Step 2: Convert to fraction form
    1,197.32/1,795.82 = 467.40/x
  3. Step 3: Cross multiply
    1,197.32x = 1,795.82 × 467.40
  4. Step 4: Simplify right side
    1,197.32x = 839,373.29
  5. Step 5: Solve for x
    x = 839,373.29/1,197.32
  6. Step 6: Final answer
    x = 701.05

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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.