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Finding the Fourth Proportional to 1,132.99, 1,699.58 and 483.57

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Solution

The fourth proportional to 1,132.99, 1,699.58 and 483.57 is: 725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.99 : 1,699.58 = 483.57 : x
  2. Step 2: Convert to fraction form
    1,132.99/1,699.58 = 483.57/x
  3. Step 3: Cross multiply
    1,132.99x = 1,699.58 × 483.57
  4. Step 4: Simplify right side
    1,132.99x = 821,867.11
  5. Step 5: Solve for x
    x = 821,867.11/1,132.99
  6. Step 6: Final answer
    x = 725.40

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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.