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Finding the Fourth Proportional to 838.45, 1,157.97 and 654.13

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Solution

The fourth proportional to 838.45, 1,157.97 and 654.13 is: 903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.45 : 1,157.97 = 654.13 : x
  2. Step 2: Convert to fraction form
    838.45/1,157.97 = 654.13/x
  3. Step 3: Cross multiply
    838.45x = 1,157.97 × 654.13
  4. Step 4: Simplify right side
    838.45x = 757,459.65
  5. Step 5: Solve for x
    x = 757,459.65/838.45
  6. Step 6: Final answer
    x = 903.40

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Double scale
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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.