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Finding the Fourth Proportional to 1,134.74, 1,567.96 and 945.41

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Solution

The fourth proportional to 1,134.74, 1,567.96 and 945.41 is: 1,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.74 : 1,567.96 = 945.41 : x
  2. Step 2: Convert to fraction form
    1,134.74/1,567.96 = 945.41/x
  3. Step 3: Cross multiply
    1,134.74x = 1,567.96 × 945.41
  4. Step 4: Simplify right side
    1,134.74x = 1,482,354.86
  5. Step 5: Solve for x
    x = 1,482,354.86/1,134.74
  6. Step 6: Final answer
    x = 1,306.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.