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Finding the Fourth Proportional to 764.02, 1,054.34 and 432.45

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Solution

The fourth proportional to 764.02, 1,054.34 and 432.45 is: 596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.02 : 1,054.34 = 432.45 : x
  2. Step 2: Convert to fraction form
    764.02/1,054.34 = 432.45/x
  3. Step 3: Cross multiply
    764.02x = 1,054.34 × 432.45
  4. Step 4: Simplify right side
    764.02x = 455,944.84
  5. Step 5: Solve for x
    x = 455,944.84/764.02
  6. Step 6: Final answer
    x = 596.77

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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.