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Finding the Fourth Proportional to 834.84, 1,152.24 and 503.28

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Solution

The fourth proportional to 834.84, 1,152.24 and 503.28 is: 694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.84 : 1,152.24 = 503.28 : x
  2. Step 2: Convert to fraction form
    834.84/1,152.24 = 503.28/x
  3. Step 3: Cross multiply
    834.84x = 1,152.24 × 503.28
  4. Step 4: Simplify right side
    834.84x = 579,899.35
  5. Step 5: Solve for x
    x = 579,899.35/834.84
  6. Step 6: Final answer
    x = 694.62

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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.