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Finding the Fourth Proportional to 705.85, 1,058.47 and 543.65

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Solution

The fourth proportional to 705.85, 1,058.47 and 543.65 is: 815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.85 : 1,058.47 = 543.65 : x
  2. Step 2: Convert to fraction form
    705.85/1,058.47 = 543.65/x
  3. Step 3: Cross multiply
    705.85x = 1,058.47 × 543.65
  4. Step 4: Simplify right side
    705.85x = 575,437.22
  5. Step 5: Solve for x
    x = 575,437.22/705.85
  6. Step 6: Final answer
    x = 815.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.