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Finding the Fourth Proportional to 838.24, 1,256.10 and 473.14

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Solution

The fourth proportional to 838.24, 1,256.10 and 473.14 is: 709.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.24 : 1,256.10 = 473.14 : x
  2. Step 2: Convert to fraction form
    838.24/1,256.10 = 473.14/x
  3. Step 3: Cross multiply
    838.24x = 1,256.10 × 473.14
  4. Step 4: Simplify right side
    838.24x = 594,311.15
  5. Step 5: Solve for x
    x = 594,311.15/838.24
  6. Step 6: Final answer
    x = 709.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.