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Finding the Fourth Proportional to 1,222.65, 1,833.59 and 442.55

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Solution

The fourth proportional to 1,222.65, 1,833.59 and 442.55 is: 663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.65 : 1,833.59 = 442.55 : x
  2. Step 2: Convert to fraction form
    1,222.65/1,833.59 = 442.55/x
  3. Step 3: Cross multiply
    1,222.65x = 1,833.59 × 442.55
  4. Step 4: Simplify right side
    1,222.65x = 811,455.25
  5. Step 5: Solve for x
    x = 811,455.25/1,222.65
  6. Step 6: Final answer
    x = 663.69

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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.