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Finding the Fourth Proportional to 764.46, 1,054.35 and 644.40

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Solution

The fourth proportional to 764.46, 1,054.35 and 644.40 is: 888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.46 : 1,054.35 = 644.40 : x
  2. Step 2: Convert to fraction form
    764.46/1,054.35 = 644.40/x
  3. Step 3: Cross multiply
    764.46x = 1,054.35 × 644.40
  4. Step 4: Simplify right side
    764.46x = 679,423.14
  5. Step 5: Solve for x
    x = 679,423.14/764.46
  6. Step 6: Final answer
    x = 888.76

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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.