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Finding the Fourth Proportional to 950.76, 1,417.48 and 926.82

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Solution

The fourth proportional to 950.76, 1,417.48 and 926.82 is: 1,381.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.76 : 1,417.48 = 926.82 : x
  2. Step 2: Convert to fraction form
    950.76/1,417.48 = 926.82/x
  3. Step 3: Cross multiply
    950.76x = 1,417.48 × 926.82
  4. Step 4: Simplify right side
    950.76x = 1,313,748.81
  5. Step 5: Solve for x
    x = 1,313,748.81/950.76
  6. Step 6: Final answer
    x = 1,381.79

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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.