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Finding the Fourth Proportional to 653.82, 975.50 and 521.43

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Solution

The fourth proportional to 653.82, 975.50 and 521.43 is: 777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.82 : 975.50 = 521.43 : x
  2. Step 2: Convert to fraction form
    653.82/975.50 = 521.43/x
  3. Step 3: Cross multiply
    653.82x = 975.50 × 521.43
  4. Step 4: Simplify right side
    653.82x = 508,652.36
  5. Step 5: Solve for x
    x = 508,652.36/653.82
  6. Step 6: Final answer
    x = 777.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.