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Finding the Fourth Proportional to 651.87, 979.25 and 507.87

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Solution

The fourth proportional to 651.87, 979.25 and 507.87 is: 762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.87 : 979.25 = 507.87 : x
  2. Step 2: Convert to fraction form
    651.87/979.25 = 507.87/x
  3. Step 3: Cross multiply
    651.87x = 979.25 × 507.87
  4. Step 4: Simplify right side
    651.87x = 497,329.16
  5. Step 5: Solve for x
    x = 497,329.16/651.87
  6. Step 6: Final answer
    x = 762.93

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Why These Related Problems?

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