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Finding the Fourth Proportional to 1,160.94, 1,740.46 and 544.34

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Solution

The fourth proportional to 1,160.94, 1,740.46 and 544.34 is: 816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.94 : 1,740.46 = 544.34 : x
  2. Step 2: Convert to fraction form
    1,160.94/1,740.46 = 544.34/x
  3. Step 3: Cross multiply
    1,160.94x = 1,740.46 × 544.34
  4. Step 4: Simplify right side
    1,160.94x = 947,402.00
  5. Step 5: Solve for x
    x = 947,402.00/1,160.94
  6. Step 6: Final answer
    x = 816.06

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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.