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Finding the Fourth Proportional to 1,308.74, 1,963.10 and 761.98

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Solution

The fourth proportional to 1,308.74, 1,963.10 and 761.98 is: 1,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.74 : 1,963.10 = 761.98 : x
  2. Step 2: Convert to fraction form
    1,308.74/1,963.10 = 761.98/x
  3. Step 3: Cross multiply
    1,308.74x = 1,963.10 × 761.98
  4. Step 4: Simplify right side
    1,308.74x = 1,495,842.94
  5. Step 5: Solve for x
    x = 1,495,842.94/1,308.74
  6. Step 6: Final answer
    x = 1,142.96

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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.