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Finding the Fourth Proportional to 892.16, 1,338.64 and 507.68

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Solution

The fourth proportional to 892.16, 1,338.64 and 507.68 is: 761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.16 : 1,338.64 = 507.68 : x
  2. Step 2: Convert to fraction form
    892.16/1,338.64 = 507.68/x
  3. Step 3: Cross multiply
    892.16x = 1,338.64 × 507.68
  4. Step 4: Simplify right side
    892.16x = 679,600.76
  5. Step 5: Solve for x
    x = 679,600.76/892.16
  6. Step 6: Final answer
    x = 761.75

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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.