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Finding the Fourth Proportional to 1,066.28, 1,470.96 and 693.59

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Solution

The fourth proportional to 1,066.28, 1,470.96 and 693.59 is: 956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.28 : 1,470.96 = 693.59 : x
  2. Step 2: Convert to fraction form
    1,066.28/1,470.96 = 693.59/x
  3. Step 3: Cross multiply
    1,066.28x = 1,470.96 × 693.59
  4. Step 4: Simplify right side
    1,066.28x = 1,020,235.79
  5. Step 5: Solve for x
    x = 1,020,235.79/1,066.28
  6. Step 6: Final answer
    x = 956.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.