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Finding the Fourth Proportional to 940.69, 1,298.30 and 899.16

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Solution

The fourth proportional to 940.69, 1,298.30 and 899.16 is: 1,240.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.69 : 1,298.30 = 899.16 : x
  2. Step 2: Convert to fraction form
    940.69/1,298.30 = 899.16/x
  3. Step 3: Cross multiply
    940.69x = 1,298.30 × 899.16
  4. Step 4: Simplify right side
    940.69x = 1,167,381.68
  5. Step 5: Solve for x
    x = 1,167,381.68/940.69
  6. Step 6: Final answer
    x = 1,240.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.