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Finding the Fourth Proportional to 1,182.53, 1,774.08 and 533.26

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Solution

The fourth proportional to 1,182.53, 1,774.08 and 533.26 is: 800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.53 : 1,774.08 = 533.26 : x
  2. Step 2: Convert to fraction form
    1,182.53/1,774.08 = 533.26/x
  3. Step 3: Cross multiply
    1,182.53x = 1,774.08 × 533.26
  4. Step 4: Simplify right side
    1,182.53x = 946,043.23
  5. Step 5: Solve for x
    x = 946,043.23/1,182.53
  6. Step 6: Final answer
    x = 800.02

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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.