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Finding the Fourth Proportional to 1,109.79, 1,530.84 and 717.03

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Solution

The fourth proportional to 1,109.79, 1,530.84 and 717.03 is: 989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.79 : 1,530.84 = 717.03 : x
  2. Step 2: Convert to fraction form
    1,109.79/1,530.84 = 717.03/x
  3. Step 3: Cross multiply
    1,109.79x = 1,530.84 × 717.03
  4. Step 4: Simplify right side
    1,109.79x = 1,097,658.21
  5. Step 5: Solve for x
    x = 1,097,658.21/1,109.79
  6. Step 6: Final answer
    x = 989.07

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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.