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Finding the Fourth Proportional to 652.69, 899.44 and 519.48

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Solution

The fourth proportional to 652.69, 899.44 and 519.48 is: 715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.69 : 899.44 = 519.48 : x
  2. Step 2: Convert to fraction form
    652.69/899.44 = 519.48/x
  3. Step 3: Cross multiply
    652.69x = 899.44 × 519.48
  4. Step 4: Simplify right side
    652.69x = 467,239.79
  5. Step 5: Solve for x
    x = 467,239.79/652.69
  6. Step 6: Final answer
    x = 715.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.