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Finding the Fourth Proportional to 700.70, 964.77 and 595.58

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Solution

The fourth proportional to 700.70, 964.77 and 595.58 is: 820.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.70 : 964.77 = 595.58 : x
  2. Step 2: Convert to fraction form
    700.70/964.77 = 595.58/x
  3. Step 3: Cross multiply
    700.70x = 964.77 × 595.58
  4. Step 4: Simplify right side
    700.70x = 574,597.72
  5. Step 5: Solve for x
    x = 574,597.72/700.70
  6. Step 6: Final answer
    x = 820.03

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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.