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Finding the Fourth Proportional to 988.56, 1,482.78 and 339.30

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Solution

The fourth proportional to 988.56, 1,482.78 and 339.30 is: 508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.56 : 1,482.78 = 339.30 : x
  2. Step 2: Convert to fraction form
    988.56/1,482.78 = 339.30/x
  3. Step 3: Cross multiply
    988.56x = 1,482.78 × 339.30
  4. Step 4: Simplify right side
    988.56x = 503,107.25
  5. Step 5: Solve for x
    x = 503,107.25/988.56
  6. Step 6: Final answer
    x = 508.93

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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.