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Finding the Fourth Proportional to 711.72, 973.47 and 700.38

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Solution

The fourth proportional to 711.72, 973.47 and 700.38 is: 957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.72 : 973.47 = 700.38 : x
  2. Step 2: Convert to fraction form
    711.72/973.47 = 700.38/x
  3. Step 3: Cross multiply
    711.72x = 973.47 × 700.38
  4. Step 4: Simplify right side
    711.72x = 681,798.92
  5. Step 5: Solve for x
    x = 681,798.92/711.72
  6. Step 6: Final answer
    x = 957.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.