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Finding the Fourth Proportional to 762.34, 1,051.89 and 514.06

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Solution

The fourth proportional to 762.34, 1,051.89 and 514.06 is: 709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.34 : 1,051.89 = 514.06 : x
  2. Step 2: Convert to fraction form
    762.34/1,051.89 = 514.06/x
  3. Step 3: Cross multiply
    762.34x = 1,051.89 × 514.06
  4. Step 4: Simplify right side
    762.34x = 540,734.57
  5. Step 5: Solve for x
    x = 540,734.57/762.34
  6. Step 6: Final answer
    x = 709.31

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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.