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Finding the Fourth Proportional to 754.29, 1,130.88 and 407.41

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Solution

The fourth proportional to 754.29, 1,130.88 and 407.41 is: 610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.29 : 1,130.88 = 407.41 : x
  2. Step 2: Convert to fraction form
    754.29/1,130.88 = 407.41/x
  3. Step 3: Cross multiply
    754.29x = 1,130.88 × 407.41
  4. Step 4: Simplify right side
    754.29x = 460,728.99
  5. Step 5: Solve for x
    x = 460,728.99/754.29
  6. Step 6: Final answer
    x = 610.81

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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.