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Finding the Fourth Proportional to 876.30, 1,308.13 and 745.43

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Solution

The fourth proportional to 876.30, 1,308.13 and 745.43 is: 1,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.30 : 1,308.13 = 745.43 : x
  2. Step 2: Convert to fraction form
    876.30/1,308.13 = 745.43/x
  3. Step 3: Cross multiply
    876.30x = 1,308.13 × 745.43
  4. Step 4: Simplify right side
    876.30x = 975,112.81
  5. Step 5: Solve for x
    x = 975,112.81/876.30
  6. Step 6: Final answer
    x = 1,112.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.