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Finding the Fourth Proportional to 3,302.83, 4,955.06 and 962.85

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Solution

The fourth proportional to 3,302.83, 4,955.06 and 962.85 is: 1,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.83 : 4,955.06 = 962.85 : x
  2. Step 2: Convert to fraction form
    3,302.83/4,955.06 = 962.85/x
  3. Step 3: Cross multiply
    3,302.83x = 4,955.06 × 962.85
  4. Step 4: Simplify right side
    3,302.83x = 4,770,979.52
  5. Step 5: Solve for x
    x = 4,770,979.52/3,302.83
  6. Step 6: Final answer
    x = 1,444.51

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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.