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Finding the Fourth Proportional to 705.60, 971.66 and 508.77

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Solution

The fourth proportional to 705.60, 971.66 and 508.77 is: 700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.60 : 971.66 = 508.77 : x
  2. Step 2: Convert to fraction form
    705.60/971.66 = 508.77/x
  3. Step 3: Cross multiply
    705.60x = 971.66 × 508.77
  4. Step 4: Simplify right side
    705.60x = 494,352.73
  5. Step 5: Solve for x
    x = 494,352.73/705.60
  6. Step 6: Final answer
    x = 700.61

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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.