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Finding the Fourth Proportional to 705.57, 973.67 and 556.35

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Solution

The fourth proportional to 705.57, 973.67 and 556.35 is: 767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.57 : 973.67 = 556.35 : x
  2. Step 2: Convert to fraction form
    705.57/973.67 = 556.35/x
  3. Step 3: Cross multiply
    705.57x = 973.67 × 556.35
  4. Step 4: Simplify right side
    705.57x = 541,693.65
  5. Step 5: Solve for x
    x = 541,693.65/705.57
  6. Step 6: Final answer
    x = 767.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.