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Finding the Fourth Proportional to 1,289.68, 1,935.40 and 712.96

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Solution

The fourth proportional to 1,289.68, 1,935.40 and 712.96 is: 1,069.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.68 : 1,935.40 = 712.96 : x
  2. Step 2: Convert to fraction form
    1,289.68/1,935.40 = 712.96/x
  3. Step 3: Cross multiply
    1,289.68x = 1,935.40 × 712.96
  4. Step 4: Simplify right side
    1,289.68x = 1,379,862.78
  5. Step 5: Solve for x
    x = 1,379,862.78/1,289.68
  6. Step 6: Final answer
    x = 1,069.93

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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.