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Finding the Fourth Proportional to 507.83, 766.51 and 507.83

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Solution

The fourth proportional to 507.83, 766.51 and 507.83 is: 766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.83 : 766.51 = 507.83 : x
  2. Step 2: Convert to fraction form
    507.83/766.51 = 507.83/x
  3. Step 3: Cross multiply
    507.83x = 766.51 × 507.83
  4. Step 4: Simplify right side
    507.83x = 389,254.86
  5. Step 5: Solve for x
    x = 389,254.86/507.83
  6. Step 6: Final answer
    x = 766.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.