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Finding the Fourth Proportional to 1,347.17, 2,019.60 and 762.08

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Solution

The fourth proportional to 1,347.17, 2,019.60 and 762.08 is: 1,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.17 : 2,019.60 = 762.08 : x
  2. Step 2: Convert to fraction form
    1,347.17/2,019.60 = 762.08/x
  3. Step 3: Cross multiply
    1,347.17x = 2,019.60 × 762.08
  4. Step 4: Simplify right side
    1,347.17x = 1,539,086.67
  5. Step 5: Solve for x
    x = 1,539,086.67/1,347.17
  6. Step 6: Final answer
    x = 1,142.46

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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.