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Finding the Fourth Proportional to 1,117.72, 1,677.39 and 541

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Solution

The fourth proportional to 1,117.72, 1,677.39 and 541 is: 811.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.72 : 1,677.39 = 541 : x
  2. Step 2: Convert to fraction form
    1,117.72/1,677.39 = 541/x
  3. Step 3: Cross multiply
    1,117.72x = 1,677.39 × 541
  4. Step 4: Simplify right side
    1,117.72x = 907,467.99
  5. Step 5: Solve for x
    x = 907,467.99/1,117.72
  6. Step 6: Final answer
    x = 811.89

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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.