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Finding the Fourth Proportional to 1,126.87, 1,690.40 and 305.15

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Solution

The fourth proportional to 1,126.87, 1,690.40 and 305.15 is: 457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.87 : 1,690.40 = 305.15 : x
  2. Step 2: Convert to fraction form
    1,126.87/1,690.40 = 305.15/x
  3. Step 3: Cross multiply
    1,126.87x = 1,690.40 × 305.15
  4. Step 4: Simplify right side
    1,126.87x = 515,815.58
  5. Step 5: Solve for x
    x = 515,815.58/1,126.87
  6. Step 6: Final answer
    x = 457.74

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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.