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Finding the Fourth Proportional to 1,109.46, 1,530.45 and 716.34

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Solution

The fourth proportional to 1,109.46, 1,530.45 and 716.34 is: 988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.46 : 1,530.45 = 716.34 : x
  2. Step 2: Convert to fraction form
    1,109.46/1,530.45 = 716.34/x
  3. Step 3: Cross multiply
    1,109.46x = 1,530.45 × 716.34
  4. Step 4: Simplify right side
    1,109.46x = 1,096,322.55
  5. Step 5: Solve for x
    x = 1,096,322.55/1,109.46
  6. Step 6: Final answer
    x = 988.16

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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.