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Finding the Fourth Proportional to 860.26, 1,289.16 and 494.26

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Solution

The fourth proportional to 860.26, 1,289.16 and 494.26 is: 740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.26 : 1,289.16 = 494.26 : x
  2. Step 2: Convert to fraction form
    860.26/1,289.16 = 494.26/x
  3. Step 3: Cross multiply
    860.26x = 1,289.16 × 494.26
  4. Step 4: Simplify right side
    860.26x = 637,180.22
  5. Step 5: Solve for x
    x = 637,180.22/860.26
  6. Step 6: Final answer
    x = 740.68

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1.5x scale

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.