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Finding the Fourth Proportional to 700.23, 965.58 and 601.01

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Solution

The fourth proportional to 700.23, 965.58 and 601.01 is: 828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.23 : 965.58 = 601.01 : x
  2. Step 2: Convert to fraction form
    700.23/965.58 = 601.01/x
  3. Step 3: Cross multiply
    700.23x = 965.58 × 601.01
  4. Step 4: Simplify right side
    700.23x = 580,323.24
  5. Step 5: Solve for x
    x = 580,323.24/700.23
  6. Step 6: Final answer
    x = 828.76

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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.