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Finding the Fourth Proportional to 705.69, 973.13 and 425.88

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Solution

The fourth proportional to 705.69, 973.13 and 425.88 is: 587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.69 : 973.13 = 425.88 : x
  2. Step 2: Convert to fraction form
    705.69/973.13 = 425.88/x
  3. Step 3: Cross multiply
    705.69x = 973.13 × 425.88
  4. Step 4: Simplify right side
    705.69x = 414,434.48
  5. Step 5: Solve for x
    x = 414,434.48/705.69
  6. Step 6: Final answer
    x = 587.28

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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.