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Finding the Fourth Proportional to 1,160.28, 1,736.76 and 830.40

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Solution

The fourth proportional to 1,160.28, 1,736.76 and 830.40 is: 1,242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.28 : 1,736.76 = 830.40 : x
  2. Step 2: Convert to fraction form
    1,160.28/1,736.76 = 830.40/x
  3. Step 3: Cross multiply
    1,160.28x = 1,736.76 × 830.40
  4. Step 4: Simplify right side
    1,160.28x = 1,442,205.50
  5. Step 5: Solve for x
    x = 1,442,205.50/1,160.28
  6. Step 6: Final answer
    x = 1,242.98

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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.