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Finding the Fourth Proportional to 1,103.68, 1,533.77 and 1,089.91

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Solution

The fourth proportional to 1,103.68, 1,533.77 and 1,089.91 is: 1,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.68 : 1,533.77 = 1,089.91 : x
  2. Step 2: Convert to fraction form
    1,103.68/1,533.77 = 1,089.91/x
  3. Step 3: Cross multiply
    1,103.68x = 1,533.77 × 1,089.91
  4. Step 4: Simplify right side
    1,103.68x = 1,671,671.26
  5. Step 5: Solve for x
    x = 1,671,671.26/1,103.68
  6. Step 6: Final answer
    x = 1,514.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.