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Finding the Fourth Proportional to 705.21, 972.91 and 565.68

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Solution

The fourth proportional to 705.21, 972.91 and 565.68 is: 780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.21 : 972.91 = 565.68 : x
  2. Step 2: Convert to fraction form
    705.21/972.91 = 565.68/x
  3. Step 3: Cross multiply
    705.21x = 972.91 × 565.68
  4. Step 4: Simplify right side
    705.21x = 550,360.08
  5. Step 5: Solve for x
    x = 550,360.08/705.21
  6. Step 6: Final answer
    x = 780.42

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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.