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Finding the Fourth Proportional to 1,059.57, 1,462.72 and 705.70

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Solution

The fourth proportional to 1,059.57, 1,462.72 and 705.70 is: 974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.57 : 1,462.72 = 705.70 : x
  2. Step 2: Convert to fraction form
    1,059.57/1,462.72 = 705.70/x
  3. Step 3: Cross multiply
    1,059.57x = 1,462.72 × 705.70
  4. Step 4: Simplify right side
    1,059.57x = 1,032,241.50
  5. Step 5: Solve for x
    x = 1,032,241.50/1,059.57
  6. Step 6: Final answer
    x = 974.21

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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.