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Finding the Fourth Proportional to 1,182.52, 1,774.02 and 413

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Solution

The fourth proportional to 1,182.52, 1,774.02 and 413 is: 619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.52 : 1,774.02 = 413 : x
  2. Step 2: Convert to fraction form
    1,182.52/1,774.02 = 413/x
  3. Step 3: Cross multiply
    1,182.52x = 1,774.02 × 413
  4. Step 4: Simplify right side
    1,182.52x = 732,670.26
  5. Step 5: Solve for x
    x = 732,670.26/1,182.52
  6. Step 6: Final answer
    x = 619.58

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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.