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Finding the Fourth Proportional to 1,270.60, 1,905.88 and 346.16

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Solution

The fourth proportional to 1,270.60, 1,905.88 and 346.16 is: 519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.60 : 1,905.88 = 346.16 : x
  2. Step 2: Convert to fraction form
    1,270.60/1,905.88 = 346.16/x
  3. Step 3: Cross multiply
    1,270.60x = 1,905.88 × 346.16
  4. Step 4: Simplify right side
    1,270.60x = 659,741.29
  5. Step 5: Solve for x
    x = 659,741.29/1,270.60
  6. Step 6: Final answer
    x = 519.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.