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Finding the Fourth Proportional to 711.55, 1,066.29 and 419.14

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Solution

The fourth proportional to 711.55, 1,066.29 and 419.14 is: 628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.55 : 1,066.29 = 419.14 : x
  2. Step 2: Convert to fraction form
    711.55/1,066.29 = 419.14/x
  3. Step 3: Cross multiply
    711.55x = 1,066.29 × 419.14
  4. Step 4: Simplify right side
    711.55x = 446,924.79
  5. Step 5: Solve for x
    x = 446,924.79/711.55
  6. Step 6: Final answer
    x = 628.10

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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.