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Finding the Fourth Proportional to 1,032.94, 1,549.41 and 830.19

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Solution

The fourth proportional to 1,032.94, 1,549.41 and 830.19 is: 1,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.94 : 1,549.41 = 830.19 : x
  2. Step 2: Convert to fraction form
    1,032.94/1,549.41 = 830.19/x
  3. Step 3: Cross multiply
    1,032.94x = 1,549.41 × 830.19
  4. Step 4: Simplify right side
    1,032.94x = 1,286,304.69
  5. Step 5: Solve for x
    x = 1,286,304.69/1,032.94
  6. Step 6: Final answer
    x = 1,245.29

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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.