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Finding the Fourth Proportional to 711.34, 1,066.10 and 340.83

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Solution

The fourth proportional to 711.34, 1,066.10 and 340.83 is: 510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.34 : 1,066.10 = 340.83 : x
  2. Step 2: Convert to fraction form
    711.34/1,066.10 = 340.83/x
  3. Step 3: Cross multiply
    711.34x = 1,066.10 × 340.83
  4. Step 4: Simplify right side
    711.34x = 363,357.16
  5. Step 5: Solve for x
    x = 363,357.16/711.34
  6. Step 6: Final answer
    x = 510.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.