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Finding the Fourth Proportional to 1,301.07, 1,950.39 and 607.38

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Solution

The fourth proportional to 1,301.07, 1,950.39 and 607.38 is: 910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.07 : 1,950.39 = 607.38 : x
  2. Step 2: Convert to fraction form
    1,301.07/1,950.39 = 607.38/x
  3. Step 3: Cross multiply
    1,301.07x = 1,950.39 × 607.38
  4. Step 4: Simplify right side
    1,301.07x = 1,184,627.88
  5. Step 5: Solve for x
    x = 1,184,627.88/1,301.07
  6. Step 6: Final answer
    x = 910.50

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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.