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Finding the Fourth Proportional to 919.07, 1,268.32 and 546.10

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Solution

The fourth proportional to 919.07, 1,268.32 and 546.10 is: 753.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.07 : 1,268.32 = 546.10 : x
  2. Step 2: Convert to fraction form
    919.07/1,268.32 = 546.10/x
  3. Step 3: Cross multiply
    919.07x = 1,268.32 × 546.10
  4. Step 4: Simplify right side
    919.07x = 692,625.02
  5. Step 5: Solve for x
    x = 692,625.02/919.07
  6. Step 6: Final answer
    x = 753.62

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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.