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Finding the Fourth Proportional to 1,347.34, 1,859.16 and 787.99

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Solution

The fourth proportional to 1,347.34, 1,859.16 and 787.99 is: 1,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.34 : 1,859.16 = 787.99 : x
  2. Step 2: Convert to fraction form
    1,347.34/1,859.16 = 787.99/x
  3. Step 3: Cross multiply
    1,347.34x = 1,859.16 × 787.99
  4. Step 4: Simplify right side
    1,347.34x = 1,464,999.49
  5. Step 5: Solve for x
    x = 1,464,999.49/1,347.34
  6. Step 6: Final answer
    x = 1,087.33

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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.