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Finding the Fourth Proportional to 838.82, 1,258.35 and 283.64

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Solution

The fourth proportional to 838.82, 1,258.35 and 283.64 is: 425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.82 : 1,258.35 = 283.64 : x
  2. Step 2: Convert to fraction form
    838.82/1,258.35 = 283.64/x
  3. Step 3: Cross multiply
    838.82x = 1,258.35 × 283.64
  4. Step 4: Simplify right side
    838.82x = 356,918.39
  5. Step 5: Solve for x
    x = 356,918.39/838.82
  6. Step 6: Final answer
    x = 425.50

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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.