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Finding the Fourth Proportional to 753.69, 1,129.59 and 407.01

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Solution

The fourth proportional to 753.69, 1,129.59 and 407.01 is: 610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.69 : 1,129.59 = 407.01 : x
  2. Step 2: Convert to fraction form
    753.69/1,129.59 = 407.01/x
  3. Step 3: Cross multiply
    753.69x = 1,129.59 × 407.01
  4. Step 4: Simplify right side
    753.69x = 459,754.43
  5. Step 5: Solve for x
    x = 459,754.43/753.69
  6. Step 6: Final answer
    x = 610.00

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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.