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Finding the Fourth Proportional to 1,101.06, 1,643.72 and 1,062.59

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Solution

The fourth proportional to 1,101.06, 1,643.72 and 1,062.59 is: 1,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.06 : 1,643.72 = 1,062.59 : x
  2. Step 2: Convert to fraction form
    1,101.06/1,643.72 = 1,062.59/x
  3. Step 3: Cross multiply
    1,101.06x = 1,643.72 × 1,062.59
  4. Step 4: Simplify right side
    1,101.06x = 1,746,586.90
  5. Step 5: Solve for x
    x = 1,746,586.90/1,101.06
  6. Step 6: Final answer
    x = 1,586.28

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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.