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Finding the Fourth Proportional to 919.23, 1,378.64 and 589.17

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Solution

The fourth proportional to 919.23, 1,378.64 and 589.17 is: 883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.23 : 1,378.64 = 589.17 : x
  2. Step 2: Convert to fraction form
    919.23/1,378.64 = 589.17/x
  3. Step 3: Cross multiply
    919.23x = 1,378.64 × 589.17
  4. Step 4: Simplify right side
    919.23x = 812,253.83
  5. Step 5: Solve for x
    x = 812,253.83/919.23
  6. Step 6: Final answer
    x = 883.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.