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Finding the Fourth Proportional to 1,126.84, 1,690.25 and 305.11

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Solution

The fourth proportional to 1,126.84, 1,690.25 and 305.11 is: 457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.84 : 1,690.25 = 305.11 : x
  2. Step 2: Convert to fraction form
    1,126.84/1,690.25 = 305.11/x
  3. Step 3: Cross multiply
    1,126.84x = 1,690.25 × 305.11
  4. Step 4: Simplify right side
    1,126.84x = 515,712.18
  5. Step 5: Solve for x
    x = 515,712.18/1,126.84
  6. Step 6: Final answer
    x = 457.66

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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.