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Finding the Fourth Proportional to 925.04, 1,276.53 and 610.76

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Solution

The fourth proportional to 925.04, 1,276.53 and 610.76 is: 842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.04 : 1,276.53 = 610.76 : x
  2. Step 2: Convert to fraction form
    925.04/1,276.53 = 610.76/x
  3. Step 3: Cross multiply
    925.04x = 1,276.53 × 610.76
  4. Step 4: Simplify right side
    925.04x = 779,647.08
  5. Step 5: Solve for x
    x = 779,647.08/925.04
  6. Step 6: Final answer
    x = 842.83

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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.