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Finding the Fourth Proportional to 1,347.84, 1,859.69 and 787.99

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Solution

The fourth proportional to 1,347.84, 1,859.69 and 787.99 is: 1,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.84 : 1,859.69 = 787.99 : x
  2. Step 2: Convert to fraction form
    1,347.84/1,859.69 = 787.99/x
  3. Step 3: Cross multiply
    1,347.84x = 1,859.69 × 787.99
  4. Step 4: Simplify right side
    1,347.84x = 1,465,408.53
  5. Step 5: Solve for x
    x = 1,465,408.53/1,347.84
  6. Step 6: Final answer
    x = 1,087.23

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