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Finding the Fourth Proportional to 648.96, 973.52 and 475.84

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Solution

The fourth proportional to 648.96, 973.52 and 475.84 is: 713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.96 : 973.52 = 475.84 : x
  2. Step 2: Convert to fraction form
    648.96/973.52 = 475.84/x
  3. Step 3: Cross multiply
    648.96x = 973.52 × 475.84
  4. Step 4: Simplify right side
    648.96x = 463,239.76
  5. Step 5: Solve for x
    x = 463,239.76/648.96
  6. Step 6: Final answer
    x = 713.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.