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Finding the Fourth Proportional to 1,330.70, 1,994.69 and 508.75

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Solution

The fourth proportional to 1,330.70, 1,994.69 and 508.75 is: 762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.70 : 1,994.69 = 508.75 : x
  2. Step 2: Convert to fraction form
    1,330.70/1,994.69 = 508.75/x
  3. Step 3: Cross multiply
    1,330.70x = 1,994.69 × 508.75
  4. Step 4: Simplify right side
    1,330.70x = 1,014,794.82
  5. Step 5: Solve for x
    x = 1,014,794.82/1,330.70
  6. Step 6: Final answer
    x = 762.61

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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.