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Finding the Fourth Proportional to 1,132.89, 1,699.48 and 483.47

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Solution

The fourth proportional to 1,132.89, 1,699.48 and 483.47 is: 725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.89 : 1,699.48 = 483.47 : x
  2. Step 2: Convert to fraction form
    1,132.89/1,699.48 = 483.47/x
  3. Step 3: Cross multiply
    1,132.89x = 1,699.48 × 483.47
  4. Step 4: Simplify right side
    1,132.89x = 821,646.08
  5. Step 5: Solve for x
    x = 821,646.08/1,132.89
  6. Step 6: Final answer
    x = 725.27

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Why These Related Problems?

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