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Finding the Fourth Proportional to 648.96, 975.60 and 521.52

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Solution

The fourth proportional to 648.96, 975.60 and 521.52 is: 784.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.96 : 975.60 = 521.52 : x
  2. Step 2: Convert to fraction form
    648.96/975.60 = 521.52/x
  3. Step 3: Cross multiply
    648.96x = 975.60 × 521.52
  4. Step 4: Simplify right side
    648.96x = 508,794.91
  5. Step 5: Solve for x
    x = 508,794.91/648.96
  6. Step 6: Final answer
    x = 784.02

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