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Finding the Fourth Proportional to 1,281.88, 1,923.18 and 460.36

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Solution

The fourth proportional to 1,281.88, 1,923.18 and 460.36 is: 690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.88 : 1,923.18 = 460.36 : x
  2. Step 2: Convert to fraction form
    1,281.88/1,923.18 = 460.36/x
  3. Step 3: Cross multiply
    1,281.88x = 1,923.18 × 460.36
  4. Step 4: Simplify right side
    1,281.88x = 885,355.14
  5. Step 5: Solve for x
    x = 885,355.14/1,281.88
  6. Step 6: Final answer
    x = 690.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.