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Finding the Fourth Proportional to 867.42, 1,196.46 and 587.16

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Solution

The fourth proportional to 867.42, 1,196.46 and 587.16 is: 809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.42 : 1,196.46 = 587.16 : x
  2. Step 2: Convert to fraction form
    867.42/1,196.46 = 587.16/x
  3. Step 3: Cross multiply
    867.42x = 1,196.46 × 587.16
  4. Step 4: Simplify right side
    867.42x = 702,513.45
  5. Step 5: Solve for x
    x = 702,513.45/867.42
  6. Step 6: Final answer
    x = 809.89

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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.