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Finding the Fourth Proportional to 651.79, 900.61 and 513.01

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Solution

The fourth proportional to 651.79, 900.61 and 513.01 is: 708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.79 : 900.61 = 513.01 : x
  2. Step 2: Convert to fraction form
    651.79/900.61 = 513.01/x
  3. Step 3: Cross multiply
    651.79x = 900.61 × 513.01
  4. Step 4: Simplify right side
    651.79x = 462,018.40
  5. Step 5: Solve for x
    x = 462,018.40/651.79
  6. Step 6: Final answer
    x = 708.85

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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.