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Finding the Fourth Proportional to 527.84, 796.48 and 507.84

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Solution

The fourth proportional to 527.84, 796.48 and 507.84 is: 766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.84 : 796.48 = 507.84 : x
  2. Step 2: Convert to fraction form
    527.84/796.48 = 507.84/x
  3. Step 3: Cross multiply
    527.84x = 796.48 × 507.84
  4. Step 4: Simplify right side
    527.84x = 404,484.40
  5. Step 5: Solve for x
    x = 404,484.40/527.84
  6. Step 6: Final answer
    x = 766.30

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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.