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Finding the Fourth Proportional to 895.65, 1,236.41 and 597.39

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Solution

The fourth proportional to 895.65, 1,236.41 and 597.39 is: 824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.65 : 1,236.41 = 597.39 : x
  2. Step 2: Convert to fraction form
    895.65/1,236.41 = 597.39/x
  3. Step 3: Cross multiply
    895.65x = 1,236.41 × 597.39
  4. Step 4: Simplify right side
    895.65x = 738,626.22
  5. Step 5: Solve for x
    x = 738,626.22/895.65
  6. Step 6: Final answer
    x = 824.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.