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Finding the Fourth Proportional to 862.98, 1,190.57 and 601.16

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Solution

The fourth proportional to 862.98, 1,190.57 and 601.16 is: 829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.98 : 1,190.57 = 601.16 : x
  2. Step 2: Convert to fraction form
    862.98/1,190.57 = 601.16/x
  3. Step 3: Cross multiply
    862.98x = 1,190.57 × 601.16
  4. Step 4: Simplify right side
    862.98x = 715,714.10
  5. Step 5: Solve for x
    x = 715,714.10/862.98
  6. Step 6: Final answer
    x = 829.35

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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.