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Finding the Fourth Proportional to 1,160.37, 1,740.02 and 419.90

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Solution

The fourth proportional to 1,160.37, 1,740.02 and 419.90 is: 629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.37 : 1,740.02 = 419.90 : x
  2. Step 2: Convert to fraction form
    1,160.37/1,740.02 = 419.90/x
  3. Step 3: Cross multiply
    1,160.37x = 1,740.02 × 419.90
  4. Step 4: Simplify right side
    1,160.37x = 730,623.60
  5. Step 5: Solve for x
    x = 730,623.60/1,160.37
  6. Step 6: Final answer
    x = 629.65

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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.