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Finding the Fourth Proportional to 754.02, 1,129.68 and 407.00

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Solution

The fourth proportional to 754.02, 1,129.68 and 407.00 is: 609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.02 : 1,129.68 = 407.00 : x
  2. Step 2: Convert to fraction form
    754.02/1,129.68 = 407.00/x
  3. Step 3: Cross multiply
    754.02x = 1,129.68 × 407.00
  4. Step 4: Simplify right side
    754.02x = 459,774.11
  5. Step 5: Solve for x
    x = 459,774.11/754.02
  6. Step 6: Final answer
    x = 609.76

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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.