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Finding the Fourth Proportional to 705.78, 973.68 and 426.02

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Solution

The fourth proportional to 705.78, 973.68 and 426.02 is: 587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.78 : 973.68 = 426.02 : x
  2. Step 2: Convert to fraction form
    705.78/973.68 = 426.02/x
  3. Step 3: Cross multiply
    705.78x = 973.68 × 426.02
  4. Step 4: Simplify right side
    705.78x = 414,802.29
  5. Step 5: Solve for x
    x = 414,802.29/705.78
  6. Step 6: Final answer
    x = 587.72

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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.