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Finding the Fourth Proportional to 1,340.43, 2,010.63 and 610.05

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Solution

The fourth proportional to 1,340.43, 2,010.63 and 610.05 is: 915.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.43 : 2,010.63 = 610.05 : x
  2. Step 2: Convert to fraction form
    1,340.43/2,010.63 = 610.05/x
  3. Step 3: Cross multiply
    1,340.43x = 2,010.63 × 610.05
  4. Step 4: Simplify right side
    1,340.43x = 1,226,594.66
  5. Step 5: Solve for x
    x = 1,226,594.66/1,340.43
  6. Step 6: Final answer
    x = 915.08

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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.