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Finding the Fourth Proportional to 751.29, 1,126.10 and 403.76

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Solution

The fourth proportional to 751.29, 1,126.10 and 403.76 is: 605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.29 : 1,126.10 = 403.76 : x
  2. Step 2: Convert to fraction form
    751.29/1,126.10 = 403.76/x
  3. Step 3: Cross multiply
    751.29x = 1,126.10 × 403.76
  4. Step 4: Simplify right side
    751.29x = 454,674.14
  5. Step 5: Solve for x
    x = 454,674.14/751.29
  6. Step 6: Final answer
    x = 605.19

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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.