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Finding the Fourth Proportional to 1,176.98, 1,765.58 and 483.53

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Solution

The fourth proportional to 1,176.98, 1,765.58 and 483.53 is: 725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.98 : 1,765.58 = 483.53 : x
  2. Step 2: Convert to fraction form
    1,176.98/1,765.58 = 483.53/x
  3. Step 3: Cross multiply
    1,176.98x = 1,765.58 × 483.53
  4. Step 4: Simplify right side
    1,176.98x = 853,699.65
  5. Step 5: Solve for x
    x = 853,699.65/1,176.98
  6. Step 6: Final answer
    x = 725.33

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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.