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Finding the Fourth Proportional to 777.04, 1,165.53 and 314.83

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Solution

The fourth proportional to 777.04, 1,165.53 and 314.83 is: 472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.04 : 1,165.53 = 314.83 : x
  2. Step 2: Convert to fraction form
    777.04/1,165.53 = 314.83/x
  3. Step 3: Cross multiply
    777.04x = 1,165.53 × 314.83
  4. Step 4: Simplify right side
    777.04x = 366,938.38
  5. Step 5: Solve for x
    x = 366,938.38/777.04
  6. Step 6: Final answer
    x = 472.22

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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.