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Finding the Fourth Proportional to 866.06, 1,297.86 and 433.52

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Solution

The fourth proportional to 866.06, 1,297.86 and 433.52 is: 649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.06 : 1,297.86 = 433.52 : x
  2. Step 2: Convert to fraction form
    866.06/1,297.86 = 433.52/x
  3. Step 3: Cross multiply
    866.06x = 1,297.86 × 433.52
  4. Step 4: Simplify right side
    866.06x = 562,648.27
  5. Step 5: Solve for x
    x = 562,648.27/866.06
  6. Step 6: Final answer
    x = 649.66

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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.