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Finding the Fourth Proportional to 1,109.90, 1,529.99 and 944.06

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Solution

The fourth proportional to 1,109.90, 1,529.99 and 944.06 is: 1,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.90 : 1,529.99 = 944.06 : x
  2. Step 2: Convert to fraction form
    1,109.90/1,529.99 = 944.06/x
  3. Step 3: Cross multiply
    1,109.90x = 1,529.99 × 944.06
  4. Step 4: Simplify right side
    1,109.90x = 1,444,393.53
  5. Step 5: Solve for x
    x = 1,444,393.53/1,109.90
  6. Step 6: Final answer
    x = 1,301.37

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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.