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Finding the Fourth Proportional to 1,340.63, 2,010.20 and 415.93

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Solution

The fourth proportional to 1,340.63, 2,010.20 and 415.93 is: 623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.63 : 2,010.20 = 415.93 : x
  2. Step 2: Convert to fraction form
    1,340.63/2,010.20 = 415.93/x
  3. Step 3: Cross multiply
    1,340.63x = 2,010.20 × 415.93
  4. Step 4: Simplify right side
    1,340.63x = 836,102.49
  5. Step 5: Solve for x
    x = 836,102.49/1,340.63
  6. Step 6: Final answer
    x = 623.66

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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.