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Finding the Fourth Proportional to 705.57, 971.42 and 565.17

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Solution

The fourth proportional to 705.57, 971.42 and 565.17 is: 778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.57 : 971.42 = 565.17 : x
  2. Step 2: Convert to fraction form
    705.57/971.42 = 565.17/x
  3. Step 3: Cross multiply
    705.57x = 971.42 × 565.17
  4. Step 4: Simplify right side
    705.57x = 549,012.58
  5. Step 5: Solve for x
    x = 549,012.58/705.57
  6. Step 6: Final answer
    x = 778.12

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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.