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Finding the Fourth Proportional to 1,347.68, 2,022.18 and 607.80

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Solution

The fourth proportional to 1,347.68, 2,022.18 and 607.80 is: 912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.68 : 2,022.18 = 607.80 : x
  2. Step 2: Convert to fraction form
    1,347.68/2,022.18 = 607.80/x
  3. Step 3: Cross multiply
    1,347.68x = 2,022.18 × 607.80
  4. Step 4: Simplify right side
    1,347.68x = 1,229,078.35
  5. Step 5: Solve for x
    x = 1,229,078.35/1,347.68
  6. Step 6: Final answer
    x = 912.00

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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.