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Finding the Fourth Proportional to 1,111.53, 1,533.84 and 639.39

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Solution

The fourth proportional to 1,111.53, 1,533.84 and 639.39 is: 882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.53 : 1,533.84 = 639.39 : x
  2. Step 2: Convert to fraction form
    1,111.53/1,533.84 = 639.39/x
  3. Step 3: Cross multiply
    1,111.53x = 1,533.84 × 639.39
  4. Step 4: Simplify right side
    1,111.53x = 980,721.96
  5. Step 5: Solve for x
    x = 980,721.96/1,111.53
  6. Step 6: Final answer
    x = 882.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.