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Finding the Fourth Proportional to 777.23, 1,072.04 and 497.55

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Solution

The fourth proportional to 777.23, 1,072.04 and 497.55 is: 686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.23 : 1,072.04 = 497.55 : x
  2. Step 2: Convert to fraction form
    777.23/1,072.04 = 497.55/x
  3. Step 3: Cross multiply
    777.23x = 1,072.04 × 497.55
  4. Step 4: Simplify right side
    777.23x = 533,391.01
  5. Step 5: Solve for x
    x = 533,391.01/777.23
  6. Step 6: Final answer
    x = 686.27

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