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Finding the Fourth Proportional to 700.13, 966.18 and 381.11

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Solution

The fourth proportional to 700.13, 966.18 and 381.11 is: 525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.13 : 966.18 = 381.11 : x
  2. Step 2: Convert to fraction form
    700.13/966.18 = 381.11/x
  3. Step 3: Cross multiply
    700.13x = 966.18 × 381.11
  4. Step 4: Simplify right side
    700.13x = 368,216.03
  5. Step 5: Solve for x
    x = 368,216.03/700.13
  6. Step 6: Final answer
    x = 525.93

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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.