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Finding the Fourth Proportional to 762.22, 1,051.87 and 430.68

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Solution

The fourth proportional to 762.22, 1,051.87 and 430.68 is: 594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.22 : 1,051.87 = 430.68 : x
  2. Step 2: Convert to fraction form
    762.22/1,051.87 = 430.68/x
  3. Step 3: Cross multiply
    762.22x = 1,051.87 × 430.68
  4. Step 4: Simplify right side
    762.22x = 453,017.70
  5. Step 5: Solve for x
    x = 453,017.70/762.22
  6. Step 6: Final answer
    x = 594.34

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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.