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Finding the Fourth Proportional to 838.98, 1,157.86 and 466.09

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Solution

The fourth proportional to 838.98, 1,157.86 and 466.09 is: 643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.98 : 1,157.86 = 466.09 : x
  2. Step 2: Convert to fraction form
    838.98/1,157.86 = 466.09/x
  3. Step 3: Cross multiply
    838.98x = 1,157.86 × 466.09
  4. Step 4: Simplify right side
    838.98x = 539,664.07
  5. Step 5: Solve for x
    x = 539,664.07/838.98
  6. Step 6: Final answer
    x = 643.24

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1.5x scale

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.