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Finding the Fourth Proportional to 834.59, 1,152.64 and 556

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Solution

The fourth proportional to 834.59, 1,152.64 and 556 is: 767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.59 : 1,152.64 = 556 : x
  2. Step 2: Convert to fraction form
    834.59/1,152.64 = 556/x
  3. Step 3: Cross multiply
    834.59x = 1,152.64 × 556
  4. Step 4: Simplify right side
    834.59x = 640,865.06
  5. Step 5: Solve for x
    x = 640,865.06/834.59
  6. Step 6: Final answer
    x = 767.88

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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.