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Finding the Fourth Proportional to 762.06, 1,051.52 and 430.44

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Solution

The fourth proportional to 762.06, 1,051.52 and 430.44 is: 593.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.06 : 1,051.52 = 430.44 : x
  2. Step 2: Convert to fraction form
    762.06/1,051.52 = 430.44/x
  3. Step 3: Cross multiply
    762.06x = 1,051.52 × 430.44
  4. Step 4: Simplify right side
    762.06x = 452,616.27
  5. Step 5: Solve for x
    x = 452,616.27/762.06
  6. Step 6: Final answer
    x = 593.94

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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.