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Finding the Fourth Proportional to 899.81, 1,351.74 and 776.79

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Solution

The fourth proportional to 899.81, 1,351.74 and 776.79 is: 1,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.81 : 1,351.74 = 776.79 : x
  2. Step 2: Convert to fraction form
    899.81/1,351.74 = 776.79/x
  3. Step 3: Cross multiply
    899.81x = 1,351.74 × 776.79
  4. Step 4: Simplify right side
    899.81x = 1,050,018.11
  5. Step 5: Solve for x
    x = 1,050,018.11/899.81
  6. Step 6: Final answer
    x = 1,166.94

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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.