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Finding the Fourth Proportional to 772.16, 1,066.08 and 566.08

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Solution

The fourth proportional to 772.16, 1,066.08 and 566.08 is: 781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.16 : 1,066.08 = 566.08 : x
  2. Step 2: Convert to fraction form
    772.16/1,066.08 = 566.08/x
  3. Step 3: Cross multiply
    772.16x = 1,066.08 × 566.08
  4. Step 4: Simplify right side
    772.16x = 603,486.57
  5. Step 5: Solve for x
    x = 603,486.57/772.16
  6. Step 6: Final answer
    x = 781.56

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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.