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Finding the Fourth Proportional to 705.78, 972.36 and 508.96

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Solution

The fourth proportional to 705.78, 972.36 and 508.96 is: 701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.78 : 972.36 = 508.96 : x
  2. Step 2: Convert to fraction form
    705.78/972.36 = 508.96/x
  3. Step 3: Cross multiply
    705.78x = 972.36 × 508.96
  4. Step 4: Simplify right side
    705.78x = 494,892.35
  5. Step 5: Solve for x
    x = 494,892.35/705.78
  6. Step 6: Final answer
    x = 701.20

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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.