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Finding the Fourth Proportional to 1,538.52, 2,308.06 and 769

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Solution

The fourth proportional to 1,538.52, 2,308.06 and 769 is: 1,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.52 : 2,308.06 = 769 : x
  2. Step 2: Convert to fraction form
    1,538.52/2,308.06 = 769/x
  3. Step 3: Cross multiply
    1,538.52x = 2,308.06 × 769
  4. Step 4: Simplify right side
    1,538.52x = 1,774,898.14
  5. Step 5: Solve for x
    x = 1,774,898.14/1,538.52
  6. Step 6: Final answer
    x = 1,153.64

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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.