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Finding the Fourth Proportional to 919.47, 1,268.80 and 521.16

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Solution

The fourth proportional to 919.47, 1,268.80 and 521.16 is: 719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.47 : 1,268.80 = 521.16 : x
  2. Step 2: Convert to fraction form
    919.47/1,268.80 = 521.16/x
  3. Step 3: Cross multiply
    919.47x = 1,268.80 × 521.16
  4. Step 4: Simplify right side
    919.47x = 661,247.81
  5. Step 5: Solve for x
    x = 661,247.81/919.47
  6. Step 6: Final answer
    x = 719.16

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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.