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Finding the Fourth Proportional to 838.84, 1,157.57 and 484.76

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Solution

The fourth proportional to 838.84, 1,157.57 and 484.76 is: 668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.84 : 1,157.57 = 484.76 : x
  2. Step 2: Convert to fraction form
    838.84/1,157.57 = 484.76/x
  3. Step 3: Cross multiply
    838.84x = 1,157.57 × 484.76
  4. Step 4: Simplify right side
    838.84x = 561,143.63
  5. Step 5: Solve for x
    x = 561,143.63/838.84
  6. Step 6: Final answer
    x = 668.95

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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.