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Finding the Fourth Proportional to 772.84, 1,066.57 and 474.12

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Solution

The fourth proportional to 772.84, 1,066.57 and 474.12 is: 654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.84 : 1,066.57 = 474.12 : x
  2. Step 2: Convert to fraction form
    772.84/1,066.57 = 474.12/x
  3. Step 3: Cross multiply
    772.84x = 1,066.57 × 474.12
  4. Step 4: Simplify right side
    772.84x = 505,683.65
  5. Step 5: Solve for x
    x = 505,683.65/772.84
  6. Step 6: Final answer
    x = 654.32

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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.