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Finding the Fourth Proportional to 3,296.95, 4,945.68 and 956.99

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Solution

The fourth proportional to 3,296.95, 4,945.68 and 956.99 is: 1,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.95 : 4,945.68 = 956.99 : x
  2. Step 2: Convert to fraction form
    3,296.95/4,945.68 = 956.99/x
  3. Step 3: Cross multiply
    3,296.95x = 4,945.68 × 956.99
  4. Step 4: Simplify right side
    3,296.95x = 4,732,966.30
  5. Step 5: Solve for x
    x = 4,732,966.30/3,296.95
  6. Step 6: Final answer
    x = 1,435.56

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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.