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Finding the Fourth Proportional to 777.53, 1,165.19 and 431.02

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Solution

The fourth proportional to 777.53, 1,165.19 and 431.02 is: 645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.53 : 1,165.19 = 431.02 : x
  2. Step 2: Convert to fraction form
    777.53/1,165.19 = 431.02/x
  3. Step 3: Cross multiply
    777.53x = 1,165.19 × 431.02
  4. Step 4: Simplify right side
    777.53x = 502,220.19
  5. Step 5: Solve for x
    x = 502,220.19/777.53
  6. Step 6: Final answer
    x = 645.92

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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.