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Finding the Fourth Proportional to 895.96, 1,344.46 and 433.74

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Solution

The fourth proportional to 895.96, 1,344.46 and 433.74 is: 650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.96 : 1,344.46 = 433.74 : x
  2. Step 2: Convert to fraction form
    895.96/1,344.46 = 433.74/x
  3. Step 3: Cross multiply
    895.96x = 1,344.46 × 433.74
  4. Step 4: Simplify right side
    895.96x = 583,146.08
  5. Step 5: Solve for x
    x = 583,146.08/895.96
  6. Step 6: Final answer
    x = 650.86

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Why These Related Problems?

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