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Finding the Fourth Proportional to 651.15, 897.96 and 510.87

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Solution

The fourth proportional to 651.15, 897.96 and 510.87 is: 704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.15 : 897.96 = 510.87 : x
  2. Step 2: Convert to fraction form
    651.15/897.96 = 510.87/x
  3. Step 3: Cross multiply
    651.15x = 897.96 × 510.87
  4. Step 4: Simplify right side
    651.15x = 458,740.83
  5. Step 5: Solve for x
    x = 458,740.83/651.15
  6. Step 6: Final answer
    x = 704.51

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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.