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Finding the Fourth Proportional to 554.79, 832.20 and 507.81

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Solution

The fourth proportional to 554.79, 832.20 and 507.81 is: 761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.79 : 832.20 = 507.81 : x
  2. Step 2: Convert to fraction form
    554.79/832.20 = 507.81/x
  3. Step 3: Cross multiply
    554.79x = 832.20 × 507.81
  4. Step 4: Simplify right side
    554.79x = 422,599.48
  5. Step 5: Solve for x
    x = 422,599.48/554.79
  6. Step 6: Final answer
    x = 761.73

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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.