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Finding the Fourth Proportional to 1,347.40, 1,859.24 and 816.60

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Solution

The fourth proportional to 1,347.40, 1,859.24 and 816.60 is: 1,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.40 : 1,859.24 = 816.60 : x
  2. Step 2: Convert to fraction form
    1,347.40/1,859.24 = 816.60/x
  3. Step 3: Cross multiply
    1,347.40x = 1,859.24 × 816.60
  4. Step 4: Simplify right side
    1,347.40x = 1,518,257.43
  5. Step 5: Solve for x
    x = 1,518,257.43/1,347.40
  6. Step 6: Final answer
    x = 1,126.81

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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.