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Finding the Fourth Proportional to 1,224.90, 1,688.04 and 945.99

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Solution

The fourth proportional to 1,224.90, 1,688.04 and 945.99 is: 1,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.90 : 1,688.04 = 945.99 : x
  2. Step 2: Convert to fraction form
    1,224.90/1,688.04 = 945.99/x
  3. Step 3: Cross multiply
    1,224.90x = 1,688.04 × 945.99
  4. Step 4: Simplify right side
    1,224.90x = 1,596,868.96
  5. Step 5: Solve for x
    x = 1,596,868.96/1,224.90
  6. Step 6: Final answer
    x = 1,303.67

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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.