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Finding the Fourth Proportional to 651.57, 899.19 and 371.83

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Solution

The fourth proportional to 651.57, 899.19 and 371.83 is: 513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.57 : 899.19 = 371.83 : x
  2. Step 2: Convert to fraction form
    651.57/899.19 = 371.83/x
  3. Step 3: Cross multiply
    651.57x = 899.19 × 371.83
  4. Step 4: Simplify right side
    651.57x = 334,345.82
  5. Step 5: Solve for x
    x = 334,345.82/651.57
  6. Step 6: Final answer
    x = 513.14

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Why These Related Problems?

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