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Finding the Fourth Proportional to 1,235.04, 1,850.94 and 686.94

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Solution

The fourth proportional to 1,235.04, 1,850.94 and 686.94 is: 1,029.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.04 : 1,850.94 = 686.94 : x
  2. Step 2: Convert to fraction form
    1,235.04/1,850.94 = 686.94/x
  3. Step 3: Cross multiply
    1,235.04x = 1,850.94 × 686.94
  4. Step 4: Simplify right side
    1,235.04x = 1,271,484.72
  5. Step 5: Solve for x
    x = 1,271,484.72/1,235.04
  6. Step 6: Final answer
    x = 1,029.51

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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.