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Finding the Fourth Proportional to 1,340.35, 2,010.75 and 415.69

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Solution

The fourth proportional to 1,340.35, 2,010.75 and 415.69 is: 623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.35 : 2,010.75 = 415.69 : x
  2. Step 2: Convert to fraction form
    1,340.35/2,010.75 = 415.69/x
  3. Step 3: Cross multiply
    1,340.35x = 2,010.75 × 415.69
  4. Step 4: Simplify right side
    1,340.35x = 835,848.67
  5. Step 5: Solve for x
    x = 835,848.67/1,340.35
  6. Step 6: Final answer
    x = 623.60

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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.