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Finding the Fourth Proportional to 653.31, 896.76 and 577.98

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Solution

The fourth proportional to 653.31, 896.76 and 577.98 is: 793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.31 : 896.76 = 577.98 : x
  2. Step 2: Convert to fraction form
    653.31/896.76 = 577.98/x
  3. Step 3: Cross multiply
    653.31x = 896.76 × 577.98
  4. Step 4: Simplify right side
    653.31x = 518,309.34
  5. Step 5: Solve for x
    x = 518,309.34/653.31
  6. Step 6: Final answer
    x = 793.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.