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Finding the Fourth Proportional to 1,021.68, 1,530.18 and 941.76

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Solution

The fourth proportional to 1,021.68, 1,530.18 and 941.76 is: 1,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.68 : 1,530.18 = 941.76 : x
  2. Step 2: Convert to fraction form
    1,021.68/1,530.18 = 941.76/x
  3. Step 3: Cross multiply
    1,021.68x = 1,530.18 × 941.76
  4. Step 4: Simplify right side
    1,021.68x = 1,441,062.32
  5. Step 5: Solve for x
    x = 1,441,062.32/1,021.68
  6. Step 6: Final answer
    x = 1,410.48

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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.