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Finding the Fourth Proportional to 1,271.55, 1,907.14 and 405.75

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Solution

The fourth proportional to 1,271.55, 1,907.14 and 405.75 is: 608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.55 : 1,907.14 = 405.75 : x
  2. Step 2: Convert to fraction form
    1,271.55/1,907.14 = 405.75/x
  3. Step 3: Cross multiply
    1,271.55x = 1,907.14 × 405.75
  4. Step 4: Simplify right side
    1,271.55x = 773,822.06
  5. Step 5: Solve for x
    x = 773,822.06/1,271.55
  6. Step 6: Final answer
    x = 608.57

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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.