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Finding the Fourth Proportional to 925.35, 1,277.33 and 575.97

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Solution

The fourth proportional to 925.35, 1,277.33 and 575.97 is: 795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.35 : 1,277.33 = 575.97 : x
  2. Step 2: Convert to fraction form
    925.35/1,277.33 = 575.97/x
  3. Step 3: Cross multiply
    925.35x = 1,277.33 × 575.97
  4. Step 4: Simplify right side
    925.35x = 735,703.76
  5. Step 5: Solve for x
    x = 735,703.76/925.35
  6. Step 6: Final answer
    x = 795.05

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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.