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Finding the Fourth Proportional to 1,299.55, 1,947.97 and 568.93

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Solution

The fourth proportional to 1,299.55, 1,947.97 and 568.93 is: 852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.55 : 1,947.97 = 568.93 : x
  2. Step 2: Convert to fraction form
    1,299.55/1,947.97 = 568.93/x
  3. Step 3: Cross multiply
    1,299.55x = 1,947.97 × 568.93
  4. Step 4: Simplify right side
    1,299.55x = 1,108,258.57
  5. Step 5: Solve for x
    x = 1,108,258.57/1,299.55
  6. Step 6: Final answer
    x = 852.80

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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.