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Finding the Fourth Proportional to 1,269.76, 1,907.84 and 621.76

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Solution

The fourth proportional to 1,269.76, 1,907.84 and 621.76 is: 934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.76 : 1,907.84 = 621.76 : x
  2. Step 2: Convert to fraction form
    1,269.76/1,907.84 = 621.76/x
  3. Step 3: Cross multiply
    1,269.76x = 1,907.84 × 621.76
  4. Step 4: Simplify right side
    1,269.76x = 1,186,218.60
  5. Step 5: Solve for x
    x = 1,186,218.60/1,269.76
  6. Step 6: Final answer
    x = 934.21

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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.