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Finding the Fourth Proportional to 919.68, 1,268.55 and 570

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Solution

The fourth proportional to 919.68, 1,268.55 and 570 is: 786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.68 : 1,268.55 = 570 : x
  2. Step 2: Convert to fraction form
    919.68/1,268.55 = 570/x
  3. Step 3: Cross multiply
    919.68x = 1,268.55 × 570
  4. Step 4: Simplify right side
    919.68x = 723,073.50
  5. Step 5: Solve for x
    x = 723,073.50/919.68
  6. Step 6: Final answer
    x = 786.22

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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.