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Finding the Fourth Proportional to 1,021.83, 1,533.51 and 748.63

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Solution

The fourth proportional to 1,021.83, 1,533.51 and 748.63 is: 1,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.83 : 1,533.51 = 748.63 : x
  2. Step 2: Convert to fraction form
    1,021.83/1,533.51 = 748.63/x
  3. Step 3: Cross multiply
    1,021.83x = 1,533.51 × 748.63
  4. Step 4: Simplify right side
    1,021.83x = 1,148,031.59
  5. Step 5: Solve for x
    x = 1,148,031.59/1,021.83
  6. Step 6: Final answer
    x = 1,123.51

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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.