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Finding the Fourth Proportional to 762.37, 1,052.09 and 430.77

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Solution

The fourth proportional to 762.37, 1,052.09 and 430.77 is: 594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.37 : 1,052.09 = 430.77 : x
  2. Step 2: Convert to fraction form
    762.37/1,052.09 = 430.77/x
  3. Step 3: Cross multiply
    762.37x = 1,052.09 × 430.77
  4. Step 4: Simplify right side
    762.37x = 453,208.81
  5. Step 5: Solve for x
    x = 453,208.81/762.37
  6. Step 6: Final answer
    x = 594.47

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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.