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Finding the Fourth Proportional to 764, 1,053.24 and 543.46

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Solution

The fourth proportional to 764, 1,053.24 and 543.46 is: 749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    764 : 1,053.24 = 543.46 : x
  2. Step 2: Convert to fraction form
    764/1,053.24 = 543.46/x
  3. Step 3: Cross multiply
    764x = 1,053.24 × 543.46
  4. Step 4: Simplify right side
    764x = 572,393.81
  5. Step 5: Solve for x
    x = 572,393.81/764
  6. Step 6: Final answer
    x = 749.21

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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.