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Finding the Fourth Proportional to 1,300.38, 1,950.76 and 422.58

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Solution

The fourth proportional to 1,300.38, 1,950.76 and 422.58 is: 633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.38 : 1,950.76 = 422.58 : x
  2. Step 2: Convert to fraction form
    1,300.38/1,950.76 = 422.58/x
  3. Step 3: Cross multiply
    1,300.38x = 1,950.76 × 422.58
  4. Step 4: Simplify right side
    1,300.38x = 824,352.16
  5. Step 5: Solve for x
    x = 824,352.16/1,300.38
  6. Step 6: Final answer
    x = 633.93

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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.