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Finding the Fourth Proportional to 1,301.20, 1,950.86 and 651.46

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Solution

The fourth proportional to 1,301.20, 1,950.86 and 651.46 is: 976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.20 : 1,950.86 = 651.46 : x
  2. Step 2: Convert to fraction form
    1,301.20/1,950.86 = 651.46/x
  3. Step 3: Cross multiply
    1,301.20x = 1,950.86 × 651.46
  4. Step 4: Simplify right side
    1,301.20x = 1,270,907.26
  5. Step 5: Solve for x
    x = 1,270,907.26/1,301.20
  6. Step 6: Final answer
    x = 976.72

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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.