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Finding the Fourth Proportional to 945.68, 1,302.90 and 829.04

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Solution

The fourth proportional to 945.68, 1,302.90 and 829.04 is: 1,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.68 : 1,302.90 = 829.04 : x
  2. Step 2: Convert to fraction form
    945.68/1,302.90 = 829.04/x
  3. Step 3: Cross multiply
    945.68x = 1,302.90 × 829.04
  4. Step 4: Simplify right side
    945.68x = 1,080,156.22
  5. Step 5: Solve for x
    x = 1,080,156.22/945.68
  6. Step 6: Final answer
    x = 1,142.20

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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.