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Finding the Fourth Proportional to 895.32, 1,343.36 and 823.56

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Solution

The fourth proportional to 895.32, 1,343.36 and 823.56 is: 1,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.32 : 1,343.36 = 823.56 : x
  2. Step 2: Convert to fraction form
    895.32/1,343.36 = 823.56/x
  3. Step 3: Cross multiply
    895.32x = 1,343.36 × 823.56
  4. Step 4: Simplify right side
    895.32x = 1,106,337.56
  5. Step 5: Solve for x
    x = 1,106,337.56/895.32
  6. Step 6: Final answer
    x = 1,235.69

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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.