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Finding the Fourth Proportional to 917.18, 1,382.56 and 904.22

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Solution

The fourth proportional to 917.18, 1,382.56 and 904.22 is: 1,363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.18 : 1,382.56 = 904.22 : x
  2. Step 2: Convert to fraction form
    917.18/1,382.56 = 904.22/x
  3. Step 3: Cross multiply
    917.18x = 1,382.56 × 904.22
  4. Step 4: Simplify right side
    917.18x = 1,250,133.88
  5. Step 5: Solve for x
    x = 1,250,133.88/917.18
  6. Step 6: Final answer
    x = 1,363.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.