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Finding the Fourth Proportional to 587.08, 807.69 and 584.34

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Solution

The fourth proportional to 587.08, 807.69 and 584.34 is: 803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.08 : 807.69 = 584.34 : x
  2. Step 2: Convert to fraction form
    587.08/807.69 = 584.34/x
  3. Step 3: Cross multiply
    587.08x = 807.69 × 584.34
  4. Step 4: Simplify right side
    587.08x = 471,962.65
  5. Step 5: Solve for x
    x = 471,962.65/587.08
  6. Step 6: Final answer
    x = 803.92

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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.