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Finding the Fourth Proportional to 1,307.69, 1,961.47 and 333.76

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Solution

The fourth proportional to 1,307.69, 1,961.47 and 333.76 is: 500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.69 : 1,961.47 = 333.76 : x
  2. Step 2: Convert to fraction form
    1,307.69/1,961.47 = 333.76/x
  3. Step 3: Cross multiply
    1,307.69x = 1,961.47 × 333.76
  4. Step 4: Simplify right side
    1,307.69x = 654,660.23
  5. Step 5: Solve for x
    x = 654,660.23/1,307.69
  6. Step 6: Final answer
    x = 500.62

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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.