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Finding the Fourth Proportional to 948.68, 1,421.10 and 774.56

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Solution

The fourth proportional to 948.68, 1,421.10 and 774.56 is: 1,160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.68 : 1,421.10 = 774.56 : x
  2. Step 2: Convert to fraction form
    948.68/1,421.10 = 774.56/x
  3. Step 3: Cross multiply
    948.68x = 1,421.10 × 774.56
  4. Step 4: Simplify right side
    948.68x = 1,100,727.22
  5. Step 5: Solve for x
    x = 1,100,727.22/948.68
  6. Step 6: Final answer
    x = 1,160.27

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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.