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Finding the Fourth Proportional to 764.40, 1,054.53 and 653.70

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Solution

The fourth proportional to 764.40, 1,054.53 and 653.70 is: 901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.40 : 1,054.53 = 653.70 : x
  2. Step 2: Convert to fraction form
    764.40/1,054.53 = 653.70/x
  3. Step 3: Cross multiply
    764.40x = 1,054.53 × 653.70
  4. Step 4: Simplify right side
    764.40x = 689,346.26
  5. Step 5: Solve for x
    x = 689,346.26/764.40
  6. Step 6: Final answer
    x = 901.81

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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.