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Finding the Fourth Proportional to 762.54, 1,052.30 and 430.96

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Solution

The fourth proportional to 762.54, 1,052.30 and 430.96 is: 594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.54 : 1,052.30 = 430.96 : x
  2. Step 2: Convert to fraction form
    762.54/1,052.30 = 430.96/x
  3. Step 3: Cross multiply
    762.54x = 1,052.30 × 430.96
  4. Step 4: Simplify right side
    762.54x = 453,499.21
  5. Step 5: Solve for x
    x = 453,499.21/762.54
  6. Step 6: Final answer
    x = 594.72

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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.