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Finding the Fourth Proportional to 705.51, 972.45 and 557.82

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Solution

The fourth proportional to 705.51, 972.45 and 557.82 is: 768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.51 : 972.45 = 557.82 : x
  2. Step 2: Convert to fraction form
    705.51/972.45 = 557.82/x
  3. Step 3: Cross multiply
    705.51x = 972.45 × 557.82
  4. Step 4: Simplify right side
    705.51x = 542,452.06
  5. Step 5: Solve for x
    x = 542,452.06/705.51
  6. Step 6: Final answer
    x = 768.88

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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.