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Finding the Fourth Proportional to 704.61, 1,056.58 and 210.82

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Solution

The fourth proportional to 704.61, 1,056.58 and 210.82 is: 316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.61 : 1,056.58 = 210.82 : x
  2. Step 2: Convert to fraction form
    704.61/1,056.58 = 210.82/x
  3. Step 3: Cross multiply
    704.61x = 1,056.58 × 210.82
  4. Step 4: Simplify right side
    704.61x = 222,751.47
  5. Step 5: Solve for x
    x = 222,751.47/704.61
  6. Step 6: Final answer
    x = 316.14

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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.