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Finding the Fourth Proportional to 1,482.42, 2,223.82 and 442.46

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Solution

The fourth proportional to 1,482.42, 2,223.82 and 442.46 is: 663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.42 : 2,223.82 = 442.46 : x
  2. Step 2: Convert to fraction form
    1,482.42/2,223.82 = 442.46/x
  3. Step 3: Cross multiply
    1,482.42x = 2,223.82 × 442.46
  4. Step 4: Simplify right side
    1,482.42x = 983,940.83
  5. Step 5: Solve for x
    x = 983,940.83/1,482.42
  6. Step 6: Final answer
    x = 663.74

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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.