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Finding the Fourth Proportional to 1,176.56, 1,762.32 and 899.09

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Solution

The fourth proportional to 1,176.56, 1,762.32 and 899.09 is: 1,346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.56 : 1,762.32 = 899.09 : x
  2. Step 2: Convert to fraction form
    1,176.56/1,762.32 = 899.09/x
  3. Step 3: Cross multiply
    1,176.56x = 1,762.32 × 899.09
  4. Step 4: Simplify right side
    1,176.56x = 1,584,475.48
  5. Step 5: Solve for x
    x = 1,584,475.48/1,176.56
  6. Step 6: Final answer
    x = 1,346.71

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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.