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Finding the Fourth Proportional to 754.23, 1,130.77 and 407.35

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Solution

The fourth proportional to 754.23, 1,130.77 and 407.35 is: 610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.23 : 1,130.77 = 407.35 : x
  2. Step 2: Convert to fraction form
    754.23/1,130.77 = 407.35/x
  3. Step 3: Cross multiply
    754.23x = 1,130.77 × 407.35
  4. Step 4: Simplify right side
    754.23x = 460,611.47
  5. Step 5: Solve for x
    x = 460,611.47/754.23
  6. Step 6: Final answer
    x = 610.70

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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.