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Finding the Fourth Proportional to 705.82, 973.19 and 489.68

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Solution

The fourth proportional to 705.82, 973.19 and 489.68 is: 675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.82 : 973.19 = 489.68 : x
  2. Step 2: Convert to fraction form
    705.82/973.19 = 489.68/x
  3. Step 3: Cross multiply
    705.82x = 973.19 × 489.68
  4. Step 4: Simplify right side
    705.82x = 476,549.23
  5. Step 5: Solve for x
    x = 476,549.23/705.82
  6. Step 6: Final answer
    x = 675.18

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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.