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Finding the Fourth Proportional to 764.10, 1,054.42 and 432.59

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Solution

The fourth proportional to 764.10, 1,054.42 and 432.59 is: 596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.10 : 1,054.42 = 432.59 : x
  2. Step 2: Convert to fraction form
    764.10/1,054.42 = 432.59/x
  3. Step 3: Cross multiply
    764.10x = 1,054.42 × 432.59
  4. Step 4: Simplify right side
    764.10x = 456,125.19
  5. Step 5: Solve for x
    x = 456,125.19/764.10
  6. Step 6: Final answer
    x = 596.94

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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.