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Finding the Fourth Proportional to 1,066.26, 1,470.69 and 750.90

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Solution

The fourth proportional to 1,066.26, 1,470.69 and 750.90 is: 1,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.26 : 1,470.69 = 750.90 : x
  2. Step 2: Convert to fraction form
    1,066.26/1,470.69 = 750.90/x
  3. Step 3: Cross multiply
    1,066.26x = 1,470.69 × 750.90
  4. Step 4: Simplify right side
    1,066.26x = 1,104,341.12
  5. Step 5: Solve for x
    x = 1,104,341.12/1,066.26
  6. Step 6: Final answer
    x = 1,035.71

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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.