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Finding the Fourth Proportional to 1,069.96, 1,475.40 and 1,066.72

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Solution

The fourth proportional to 1,069.96, 1,475.40 and 1,066.72 is: 1,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.96 : 1,475.40 = 1,066.72 : x
  2. Step 2: Convert to fraction form
    1,069.96/1,475.40 = 1,066.72/x
  3. Step 3: Cross multiply
    1,069.96x = 1,475.40 × 1,066.72
  4. Step 4: Simplify right side
    1,069.96x = 1,573,838.69
  5. Step 5: Solve for x
    x = 1,573,838.69/1,069.96
  6. Step 6: Final answer
    x = 1,470.93

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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.