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Finding the Fourth Proportional to 1,302.56, 1,954 and 532.96

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Solution

The fourth proportional to 1,302.56, 1,954 and 532.96 is: 799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.56 : 1,954 = 532.96 : x
  2. Step 2: Convert to fraction form
    1,302.56/1,954 = 532.96/x
  3. Step 3: Cross multiply
    1,302.56x = 1,954 × 532.96
  4. Step 4: Simplify right side
    1,302.56x = 1,041,403.84
  5. Step 5: Solve for x
    x = 1,041,403.84/1,302.56
  6. Step 6: Final answer
    x = 799.51

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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.