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Finding the Fourth Proportional to 895.74, 1,343.64 and 279.86

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Solution

The fourth proportional to 895.74, 1,343.64 and 279.86 is: 419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.74 : 1,343.64 = 279.86 : x
  2. Step 2: Convert to fraction form
    895.74/1,343.64 = 279.86/x
  3. Step 3: Cross multiply
    895.74x = 1,343.64 × 279.86
  4. Step 4: Simplify right side
    895.74x = 376,031.09
  5. Step 5: Solve for x
    x = 376,031.09/895.74
  6. Step 6: Final answer
    x = 419.80

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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.