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Finding the Fourth Proportional to 705.80, 1,054.10 and 569.12

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Solution

The fourth proportional to 705.80, 1,054.10 and 569.12 is: 849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.80 : 1,054.10 = 569.12 : x
  2. Step 2: Convert to fraction form
    705.80/1,054.10 = 569.12/x
  3. Step 3: Cross multiply
    705.80x = 1,054.10 × 569.12
  4. Step 4: Simplify right side
    705.80x = 599,909.39
  5. Step 5: Solve for x
    x = 599,909.39/705.80
  6. Step 6: Final answer
    x = 849.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.