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Finding the Fourth Proportional to 1,330.34, 1,995.17 and 508.37

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Solution

The fourth proportional to 1,330.34, 1,995.17 and 508.37 is: 762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.34 : 1,995.17 = 508.37 : x
  2. Step 2: Convert to fraction form
    1,330.34/1,995.17 = 508.37/x
  3. Step 3: Cross multiply
    1,330.34x = 1,995.17 × 508.37
  4. Step 4: Simplify right side
    1,330.34x = 1,014,272.06
  5. Step 5: Solve for x
    x = 1,014,272.06/1,330.34
  6. Step 6: Final answer
    x = 762.42

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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.