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Finding the Fourth Proportional to 832.84, 1,148.72 and 584.08

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Solution

The fourth proportional to 832.84, 1,148.72 and 584.08 is: 805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.84 : 1,148.72 = 584.08 : x
  2. Step 2: Convert to fraction form
    832.84/1,148.72 = 584.08/x
  3. Step 3: Cross multiply
    832.84x = 1,148.72 × 584.08
  4. Step 4: Simplify right side
    832.84x = 670,944.38
  5. Step 5: Solve for x
    x = 670,944.38/832.84
  6. Step 6: Final answer
    x = 805.61

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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.