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Finding the Fourth Proportional to 771.61, 1,156.59 and 332.74

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Solution

The fourth proportional to 771.61, 1,156.59 and 332.74 is: 498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.61 : 1,156.59 = 332.74 : x
  2. Step 2: Convert to fraction form
    771.61/1,156.59 = 332.74/x
  3. Step 3: Cross multiply
    771.61x = 1,156.59 × 332.74
  4. Step 4: Simplify right side
    771.61x = 384,843.76
  5. Step 5: Solve for x
    x = 384,843.76/771.61
  6. Step 6: Final answer
    x = 498.75

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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.