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Finding the Fourth Proportional to 1,182.48, 1,773.75 and 402.45

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Solution

The fourth proportional to 1,182.48, 1,773.75 and 402.45 is: 603.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.48 : 1,773.75 = 402.45 : x
  2. Step 2: Convert to fraction form
    1,182.48/1,773.75 = 402.45/x
  3. Step 3: Cross multiply
    1,182.48x = 1,773.75 × 402.45
  4. Step 4: Simplify right side
    1,182.48x = 713,845.69
  5. Step 5: Solve for x
    x = 713,845.69/1,182.48
  6. Step 6: Final answer
    x = 603.69

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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.