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Finding the Fourth Proportional to 701.34, 1,055.67 and 595.64

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Solution

The fourth proportional to 701.34, 1,055.67 and 595.64 is: 896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.34 : 1,055.67 = 595.64 : x
  2. Step 2: Convert to fraction form
    701.34/1,055.67 = 595.64/x
  3. Step 3: Cross multiply
    701.34x = 1,055.67 × 595.64
  4. Step 4: Simplify right side
    701.34x = 628,794.00
  5. Step 5: Solve for x
    x = 628,794.00/701.34
  6. Step 6: Final answer
    x = 896.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.