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Finding the Fourth Proportional to 1,019.59, 1,405.06 and 724.35

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Solution

The fourth proportional to 1,019.59, 1,405.06 and 724.35 is: 998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.59 : 1,405.06 = 724.35 : x
  2. Step 2: Convert to fraction form
    1,019.59/1,405.06 = 724.35/x
  3. Step 3: Cross multiply
    1,019.59x = 1,405.06 × 724.35
  4. Step 4: Simplify right side
    1,019.59x = 1,017,751.57
  5. Step 5: Solve for x
    x = 1,017,751.57/1,019.59
  6. Step 6: Final answer
    x = 998.20

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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.