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Finding the Fourth Proportional to 3,303.39, 4,955.25 and 838.23

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Solution

The fourth proportional to 3,303.39, 4,955.25 and 838.23 is: 1,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.39 : 4,955.25 = 838.23 : x
  2. Step 2: Convert to fraction form
    3,303.39/4,955.25 = 838.23/x
  3. Step 3: Cross multiply
    3,303.39x = 4,955.25 × 838.23
  4. Step 4: Simplify right side
    3,303.39x = 4,153,639.21
  5. Step 5: Solve for x
    x = 4,153,639.21/3,303.39
  6. Step 6: Final answer
    x = 1,257.39

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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.