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Finding the Fourth Proportional to 705.09, 972.86 and 456.02

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Solution

The fourth proportional to 705.09, 972.86 and 456.02 is: 629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.09 : 972.86 = 456.02 : x
  2. Step 2: Convert to fraction form
    705.09/972.86 = 456.02/x
  3. Step 3: Cross multiply
    705.09x = 972.86 × 456.02
  4. Step 4: Simplify right side
    705.09x = 443,636.47
  5. Step 5: Solve for x
    x = 443,636.47/705.09
  6. Step 6: Final answer
    x = 629.19

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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.