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Finding the Fourth Proportional to 3,303.74, 4,955.62 and 838.75

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Solution

The fourth proportional to 3,303.74, 4,955.62 and 838.75 is: 1,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.74 : 4,955.62 = 838.75 : x
  2. Step 2: Convert to fraction form
    3,303.74/4,955.62 = 838.75/x
  3. Step 3: Cross multiply
    3,303.74x = 4,955.62 × 838.75
  4. Step 4: Simplify right side
    3,303.74x = 4,156,526.28
  5. Step 5: Solve for x
    x = 4,156,526.28/3,303.74
  6. Step 6: Final answer
    x = 1,258.13

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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.