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Finding the Fourth Proportional to 942.76, 1,301.54 and 628.45

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Solution

The fourth proportional to 942.76, 1,301.54 and 628.45 is: 867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.76 : 1,301.54 = 628.45 : x
  2. Step 2: Convert to fraction form
    942.76/1,301.54 = 628.45/x
  3. Step 3: Cross multiply
    942.76x = 1,301.54 × 628.45
  4. Step 4: Simplify right side
    942.76x = 817,949.67
  5. Step 5: Solve for x
    x = 817,949.67/942.76
  6. Step 6: Final answer
    x = 867.61

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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.