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Finding the Fourth Proportional to 776.96, 1,071.64 and 527.84

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Solution

The fourth proportional to 776.96, 1,071.64 and 527.84 is: 728.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.96 : 1,071.64 = 527.84 : x
  2. Step 2: Convert to fraction form
    776.96/1,071.64 = 527.84/x
  3. Step 3: Cross multiply
    776.96x = 1,071.64 × 527.84
  4. Step 4: Simplify right side
    776.96x = 565,654.46
  5. Step 5: Solve for x
    x = 565,654.46/776.96
  6. Step 6: Final answer
    x = 728.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.