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Finding the Fourth Proportional to 1,024.76, 1,536.39 and 777.71

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Solution

The fourth proportional to 1,024.76, 1,536.39 and 777.71 is: 1,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.76 : 1,536.39 = 777.71 : x
  2. Step 2: Convert to fraction form
    1,024.76/1,536.39 = 777.71/x
  3. Step 3: Cross multiply
    1,024.76x = 1,536.39 × 777.71
  4. Step 4: Simplify right side
    1,024.76x = 1,194,858.18
  5. Step 5: Solve for x
    x = 1,194,858.18/1,024.76
  6. Step 6: Final answer
    x = 1,165.99

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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.