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Finding the Fourth Proportional to 777.55, 1,165.63 and 503.72

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Solution

The fourth proportional to 777.55, 1,165.63 and 503.72 is: 755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.55 : 1,165.63 = 503.72 : x
  2. Step 2: Convert to fraction form
    777.55/1,165.63 = 503.72/x
  3. Step 3: Cross multiply
    777.55x = 1,165.63 × 503.72
  4. Step 4: Simplify right side
    777.55x = 587,145.32
  5. Step 5: Solve for x
    x = 587,145.32/777.55
  6. Step 6: Final answer
    x = 755.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.