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Finding the Fourth Proportional to 919.24, 1,266.58 and 623.99

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Solution

The fourth proportional to 919.24, 1,266.58 and 623.99 is: 859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.24 : 1,266.58 = 623.99 : x
  2. Step 2: Convert to fraction form
    919.24/1,266.58 = 623.99/x
  3. Step 3: Cross multiply
    919.24x = 1,266.58 × 623.99
  4. Step 4: Simplify right side
    919.24x = 790,333.25
  5. Step 5: Solve for x
    x = 790,333.25/919.24
  6. Step 6: Final answer
    x = 859.77

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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.