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Finding the Fourth Proportional to 942.24, 1,412.64 and 480.24

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Solution

The fourth proportional to 942.24, 1,412.64 and 480.24 is: 719.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.24 : 1,412.64 = 480.24 : x
  2. Step 2: Convert to fraction form
    942.24/1,412.64 = 480.24/x
  3. Step 3: Cross multiply
    942.24x = 1,412.64 × 480.24
  4. Step 4: Simplify right side
    942.24x = 678,406.23
  5. Step 5: Solve for x
    x = 678,406.23/942.24
  6. Step 6: Final answer
    x = 719.99

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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.