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Finding the Fourth Proportional to 1,271.50, 1,907.19 and 405.70

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Solution

The fourth proportional to 1,271.50, 1,907.19 and 405.70 is: 608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.50 : 1,907.19 = 405.70 : x
  2. Step 2: Convert to fraction form
    1,271.50/1,907.19 = 405.70/x
  3. Step 3: Cross multiply
    1,271.50x = 1,907.19 × 405.70
  4. Step 4: Simplify right side
    1,271.50x = 773,746.98
  5. Step 5: Solve for x
    x = 773,746.98/1,271.50
  6. Step 6: Final answer
    x = 608.53

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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.