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Finding the Fourth Proportional to 1,303.34, 1,796.74 and 929.67

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Solution

The fourth proportional to 1,303.34, 1,796.74 and 929.67 is: 1,281.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.34 : 1,796.74 = 929.67 : x
  2. Step 2: Convert to fraction form
    1,303.34/1,796.74 = 929.67/x
  3. Step 3: Cross multiply
    1,303.34x = 1,796.74 × 929.67
  4. Step 4: Simplify right side
    1,303.34x = 1,670,375.28
  5. Step 5: Solve for x
    x = 1,670,375.28/1,303.34
  6. Step 6: Final answer
    x = 1,281.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.