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Finding the Fourth Proportional to 628.53, 942.89 and 514.01

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Solution

The fourth proportional to 628.53, 942.89 and 514.01 is: 771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.53 : 942.89 = 514.01 : x
  2. Step 2: Convert to fraction form
    628.53/942.89 = 514.01/x
  3. Step 3: Cross multiply
    628.53x = 942.89 × 514.01
  4. Step 4: Simplify right side
    628.53x = 484,657.57
  5. Step 5: Solve for x
    x = 484,657.57/628.53
  6. Step 6: Final answer
    x = 771.10

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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.