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Finding the Fourth Proportional to 777.02, 1,164.80 and 517.10

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Solution

The fourth proportional to 777.02, 1,164.80 and 517.10 is: 775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.02 : 1,164.80 = 517.10 : x
  2. Step 2: Convert to fraction form
    777.02/1,164.80 = 517.10/x
  3. Step 3: Cross multiply
    777.02x = 1,164.80 × 517.10
  4. Step 4: Simplify right side
    777.02x = 602,318.08
  5. Step 5: Solve for x
    x = 602,318.08/777.02
  6. Step 6: Final answer
    x = 775.16

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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.