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Finding the Fourth Proportional to 988.12, 1,482.43 and 294.79

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Solution

The fourth proportional to 988.12, 1,482.43 and 294.79 is: 442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.12 : 1,482.43 = 294.79 : x
  2. Step 2: Convert to fraction form
    988.12/1,482.43 = 294.79/x
  3. Step 3: Cross multiply
    988.12x = 1,482.43 × 294.79
  4. Step 4: Simplify right side
    988.12x = 437,002.57
  5. Step 5: Solve for x
    x = 437,002.57/988.12
  6. Step 6: Final answer
    x = 442.26

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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.