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Finding the Fourth Proportional to 917.04, 1,374.12 and 801.12

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Solution

The fourth proportional to 917.04, 1,374.12 and 801.12 is: 1,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.04 : 1,374.12 = 801.12 : x
  2. Step 2: Convert to fraction form
    917.04/1,374.12 = 801.12/x
  3. Step 3: Cross multiply
    917.04x = 1,374.12 × 801.12
  4. Step 4: Simplify right side
    917.04x = 1,100,835.01
  5. Step 5: Solve for x
    x = 1,100,835.01/917.04
  6. Step 6: Final answer
    x = 1,200.42

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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.