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Finding the Fourth Proportional to 1,242.94, 1,865.04 and 513.04

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Solution

The fourth proportional to 1,242.94, 1,865.04 and 513.04 is: 769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.94 : 1,865.04 = 513.04 : x
  2. Step 2: Convert to fraction form
    1,242.94/1,865.04 = 513.04/x
  3. Step 3: Cross multiply
    1,242.94x = 1,865.04 × 513.04
  4. Step 4: Simplify right side
    1,242.94x = 956,840.12
  5. Step 5: Solve for x
    x = 956,840.12/1,242.94
  6. Step 6: Final answer
    x = 769.82

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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.