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Finding the Fourth Proportional to 705.78, 973.66 and 425.84

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Solution

The fourth proportional to 705.78, 973.66 and 425.84 is: 587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.78 : 973.66 = 425.84 : x
  2. Step 2: Convert to fraction form
    705.78/973.66 = 425.84/x
  3. Step 3: Cross multiply
    705.78x = 973.66 × 425.84
  4. Step 4: Simplify right side
    705.78x = 414,616.38
  5. Step 5: Solve for x
    x = 414,616.38/705.78
  6. Step 6: Final answer
    x = 587.46

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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.