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Finding the Fourth Proportional to 1,408, 1,943.04 and 787

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Solution

The fourth proportional to 1,408, 1,943.04 and 787 is: 1,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408 : 1,943.04 = 787 : x
  2. Step 2: Convert to fraction form
    1,408/1,943.04 = 787/x
  3. Step 3: Cross multiply
    1,408x = 1,943.04 × 787
  4. Step 4: Simplify right side
    1,408x = 1,529,172.48
  5. Step 5: Solve for x
    x = 1,529,172.48/1,408
  6. Step 6: Final answer
    x = 1,086.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.