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Finding the Fourth Proportional to 764.50, 1,054.97 and 432.92

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Solution

The fourth proportional to 764.50, 1,054.97 and 432.92 is: 597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.50 : 1,054.97 = 432.92 : x
  2. Step 2: Convert to fraction form
    764.50/1,054.97 = 432.92/x
  3. Step 3: Cross multiply
    764.50x = 1,054.97 × 432.92
  4. Step 4: Simplify right side
    764.50x = 456,712.34
  5. Step 5: Solve for x
    x = 456,712.34/764.50
  6. Step 6: Final answer
    x = 597.40

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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.