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Finding the Fourth Proportional to 1,066.12, 1,470.66 and 772.12

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Solution

The fourth proportional to 1,066.12, 1,470.66 and 772.12 is: 1,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.12 : 1,470.66 = 772.12 : x
  2. Step 2: Convert to fraction form
    1,066.12/1,470.66 = 772.12/x
  3. Step 3: Cross multiply
    1,066.12x = 1,470.66 × 772.12
  4. Step 4: Simplify right side
    1,066.12x = 1,135,526.00
  5. Step 5: Solve for x
    x = 1,135,526.00/1,066.12
  6. Step 6: Final answer
    x = 1,065.10

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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.