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Finding the Fourth Proportional to 1,302.53, 1,953.59 and 775.76

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Solution

The fourth proportional to 1,302.53, 1,953.59 and 775.76 is: 1,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.53 : 1,953.59 = 775.76 : x
  2. Step 2: Convert to fraction form
    1,302.53/1,953.59 = 775.76/x
  3. Step 3: Cross multiply
    1,302.53x = 1,953.59 × 775.76
  4. Step 4: Simplify right side
    1,302.53x = 1,515,503.33
  5. Step 5: Solve for x
    x = 1,515,503.33/1,302.53
  6. Step 6: Final answer
    x = 1,163.51

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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.