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Finding the Fourth Proportional to 1,284.99, 1,926.06 and 735.96

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Solution

The fourth proportional to 1,284.99, 1,926.06 and 735.96 is: 1,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.99 : 1,926.06 = 735.96 : x
  2. Step 2: Convert to fraction form
    1,284.99/1,926.06 = 735.96/x
  3. Step 3: Cross multiply
    1,284.99x = 1,926.06 × 735.96
  4. Step 4: Simplify right side
    1,284.99x = 1,417,503.12
  5. Step 5: Solve for x
    x = 1,417,503.12/1,284.99
  6. Step 6: Final answer
    x = 1,103.12

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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.