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Finding the Fourth Proportional to 838.16, 1,257.84 and 473.66

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Solution

The fourth proportional to 838.16, 1,257.84 and 473.66 is: 710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.16 : 1,257.84 = 473.66 : x
  2. Step 2: Convert to fraction form
    838.16/1,257.84 = 473.66/x
  3. Step 3: Cross multiply
    838.16x = 1,257.84 × 473.66
  4. Step 4: Simplify right side
    838.16x = 595,779.84
  5. Step 5: Solve for x
    x = 595,779.84/838.16
  6. Step 6: Final answer
    x = 710.82

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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.