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Finding the Fourth Proportional to 919.16, 1,268.46 and 546.14

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Solution

The fourth proportional to 919.16, 1,268.46 and 546.14 is: 753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.16 : 1,268.46 = 546.14 : x
  2. Step 2: Convert to fraction form
    919.16/1,268.46 = 546.14/x
  3. Step 3: Cross multiply
    919.16x = 1,268.46 × 546.14
  4. Step 4: Simplify right side
    919.16x = 692,750.40
  5. Step 5: Solve for x
    x = 692,750.40/919.16
  6. Step 6: Final answer
    x = 753.68

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Why These Related Problems?

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