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Finding the Fourth Proportional to 1,158.10, 1,736.70 and 465.07

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Solution

The fourth proportional to 1,158.10, 1,736.70 and 465.07 is: 697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.10 : 1,736.70 = 465.07 : x
  2. Step 2: Convert to fraction form
    1,158.10/1,736.70 = 465.07/x
  3. Step 3: Cross multiply
    1,158.10x = 1,736.70 × 465.07
  4. Step 4: Simplify right side
    1,158.10x = 807,687.07
  5. Step 5: Solve for x
    x = 807,687.07/1,158.10
  6. Step 6: Final answer
    x = 697.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.