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Finding the Fourth Proportional to 1,196.72, 1,795.04 and 466.80

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Solution

The fourth proportional to 1,196.72, 1,795.04 and 466.80 is: 700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.72 : 1,795.04 = 466.80 : x
  2. Step 2: Convert to fraction form
    1,196.72/1,795.04 = 466.80/x
  3. Step 3: Cross multiply
    1,196.72x = 1,795.04 × 466.80
  4. Step 4: Simplify right side
    1,196.72x = 837,924.67
  5. Step 5: Solve for x
    x = 837,924.67/1,196.72
  6. Step 6: Final answer
    x = 700.18

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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.