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Finding the Fourth Proportional to 734.67, 1,095.53 and 632.61

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Solution

The fourth proportional to 734.67, 1,095.53 and 632.61 is: 943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.67 : 1,095.53 = 632.61 : x
  2. Step 2: Convert to fraction form
    734.67/1,095.53 = 632.61/x
  3. Step 3: Cross multiply
    734.67x = 1,095.53 × 632.61
  4. Step 4: Simplify right side
    734.67x = 693,040.07
  5. Step 5: Solve for x
    x = 693,040.07/734.67
  6. Step 6: Final answer
    x = 943.34

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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.