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Finding the Fourth Proportional to 1,271.42, 1,907.33 and 541

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Solution

The fourth proportional to 1,271.42, 1,907.33 and 541 is: 811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.42 : 1,907.33 = 541 : x
  2. Step 2: Convert to fraction form
    1,271.42/1,907.33 = 541/x
  3. Step 3: Cross multiply
    1,271.42x = 1,907.33 × 541
  4. Step 4: Simplify right side
    1,271.42x = 1,031,865.53
  5. Step 5: Solve for x
    x = 1,031,865.53/1,271.42
  6. Step 6: Final answer
    x = 811.59

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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.