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Finding the Fourth Proportional to 754.49, 1,130.11 and 509.67

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Solution

The fourth proportional to 754.49, 1,130.11 and 509.67 is: 763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.49 : 1,130.11 = 509.67 : x
  2. Step 2: Convert to fraction form
    754.49/1,130.11 = 509.67/x
  3. Step 3: Cross multiply
    754.49x = 1,130.11 × 509.67
  4. Step 4: Simplify right side
    754.49x = 575,983.16
  5. Step 5: Solve for x
    x = 575,983.16/754.49
  6. Step 6: Final answer
    x = 763.41

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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.