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Finding the Fourth Proportional to 711.68, 1,066.74 and 464.58

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Solution

The fourth proportional to 711.68, 1,066.74 and 464.58 is: 696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.68 : 1,066.74 = 464.58 : x
  2. Step 2: Convert to fraction form
    711.68/1,066.74 = 464.58/x
  3. Step 3: Cross multiply
    711.68x = 1,066.74 × 464.58
  4. Step 4: Simplify right side
    711.68x = 495,586.07
  5. Step 5: Solve for x
    x = 495,586.07/711.68
  6. Step 6: Final answer
    x = 696.36

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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.