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Finding the Fourth Proportional to 1,105.83, 1,526.09 and 633.74

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Solution

The fourth proportional to 1,105.83, 1,526.09 and 633.74 is: 874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.83 : 1,526.09 = 633.74 : x
  2. Step 2: Convert to fraction form
    1,105.83/1,526.09 = 633.74/x
  3. Step 3: Cross multiply
    1,105.83x = 1,526.09 × 633.74
  4. Step 4: Simplify right side
    1,105.83x = 967,133.48
  5. Step 5: Solve for x
    x = 967,133.48/1,105.83
  6. Step 6: Final answer
    x = 874.58

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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.