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Finding the Fourth Proportional to 1,132.05, 1,699.13 and 483.24

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Solution

The fourth proportional to 1,132.05, 1,699.13 and 483.24 is: 725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.05 : 1,699.13 = 483.24 : x
  2. Step 2: Convert to fraction form
    1,132.05/1,699.13 = 483.24/x
  3. Step 3: Cross multiply
    1,132.05x = 1,699.13 × 483.24
  4. Step 4: Simplify right side
    1,132.05x = 821,085.17
  5. Step 5: Solve for x
    x = 821,085.17/1,132.05
  6. Step 6: Final answer
    x = 725.31

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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.