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Finding the Fourth Proportional to 1,021.56, 1,407.18 and 824.52

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Solution

The fourth proportional to 1,021.56, 1,407.18 and 824.52 is: 1,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.56 : 1,407.18 = 824.52 : x
  2. Step 2: Convert to fraction form
    1,021.56/1,407.18 = 824.52/x
  3. Step 3: Cross multiply
    1,021.56x = 1,407.18 × 824.52
  4. Step 4: Simplify right side
    1,021.56x = 1,160,248.05
  5. Step 5: Solve for x
    x = 1,160,248.05/1,021.56
  6. Step 6: Final answer
    x = 1,135.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.