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Finding the Fourth Proportional to 777.47, 1,164.29 and 502.72

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Solution

The fourth proportional to 777.47, 1,164.29 and 502.72 is: 752.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.47 : 1,164.29 = 502.72 : x
  2. Step 2: Convert to fraction form
    777.47/1,164.29 = 502.72/x
  3. Step 3: Cross multiply
    777.47x = 1,164.29 × 502.72
  4. Step 4: Simplify right side
    777.47x = 585,311.87
  5. Step 5: Solve for x
    x = 585,311.87/777.47
  6. Step 6: Final answer
    x = 752.84

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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.