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Finding the Fourth Proportional to 1,026.91, 1,532.90 and 950.77

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Solution

The fourth proportional to 1,026.91, 1,532.90 and 950.77 is: 1,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.91 : 1,532.90 = 950.77 : x
  2. Step 2: Convert to fraction form
    1,026.91/1,532.90 = 950.77/x
  3. Step 3: Cross multiply
    1,026.91x = 1,532.90 × 950.77
  4. Step 4: Simplify right side
    1,026.91x = 1,457,435.33
  5. Step 5: Solve for x
    x = 1,457,435.33/1,026.91
  6. Step 6: Final answer
    x = 1,419.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.