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Finding the Fourth Proportional to 858.99, 1,289.16 and 448.26

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Solution

The fourth proportional to 858.99, 1,289.16 and 448.26 is: 672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.99 : 1,289.16 = 448.26 : x
  2. Step 2: Convert to fraction form
    858.99/1,289.16 = 448.26/x
  3. Step 3: Cross multiply
    858.99x = 1,289.16 × 448.26
  4. Step 4: Simplify right side
    858.99x = 577,878.86
  5. Step 5: Solve for x
    x = 577,878.86/858.99
  6. Step 6: Final answer
    x = 672.74

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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.