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Finding the Fourth Proportional to 762.53, 1,052.34 and 430.98

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Solution

The fourth proportional to 762.53, 1,052.34 and 430.98 is: 594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.53 : 1,052.34 = 430.98 : x
  2. Step 2: Convert to fraction form
    762.53/1,052.34 = 430.98/x
  3. Step 3: Cross multiply
    762.53x = 1,052.34 × 430.98
  4. Step 4: Simplify right side
    762.53x = 453,537.49
  5. Step 5: Solve for x
    x = 453,537.49/762.53
  6. Step 6: Final answer
    x = 594.78

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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.