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Finding the Fourth Proportional to 1,270.61, 1,905.77 and 346.10

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Solution

The fourth proportional to 1,270.61, 1,905.77 and 346.10 is: 519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.61 : 1,905.77 = 346.10 : x
  2. Step 2: Convert to fraction form
    1,270.61/1,905.77 = 346.10/x
  3. Step 3: Cross multiply
    1,270.61x = 1,905.77 × 346.10
  4. Step 4: Simplify right side
    1,270.61x = 659,581.26
  5. Step 5: Solve for x
    x = 659,581.26/1,270.61
  6. Step 6: Final answer
    x = 519.11

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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.