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Finding the Fourth Proportional to 1,299.92, 1,950.07 and 466.92

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Solution

The fourth proportional to 1,299.92, 1,950.07 and 466.92 is: 700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.92 : 1,950.07 = 466.92 : x
  2. Step 2: Convert to fraction form
    1,299.92/1,950.07 = 466.92/x
  3. Step 3: Cross multiply
    1,299.92x = 1,950.07 × 466.92
  4. Step 4: Simplify right side
    1,299.92x = 910,526.68
  5. Step 5: Solve for x
    x = 910,526.68/1,299.92
  6. Step 6: Final answer
    x = 700.45

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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.