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Finding the Fourth Proportional to 1,102.56, 1,643.70 and 1,050.72

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Solution

The fourth proportional to 1,102.56, 1,643.70 and 1,050.72 is: 1,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.56 : 1,643.70 = 1,050.72 : x
  2. Step 2: Convert to fraction form
    1,102.56/1,643.70 = 1,050.72/x
  3. Step 3: Cross multiply
    1,102.56x = 1,643.70 × 1,050.72
  4. Step 4: Simplify right side
    1,102.56x = 1,727,068.46
  5. Step 5: Solve for x
    x = 1,727,068.46/1,102.56
  6. Step 6: Final answer
    x = 1,566.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.