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Finding the Fourth Proportional to 917.13, 1,370.87 and 895.26

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Solution

The fourth proportional to 917.13, 1,370.87 and 895.26 is: 1,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.13 : 1,370.87 = 895.26 : x
  2. Step 2: Convert to fraction form
    917.13/1,370.87 = 895.26/x
  3. Step 3: Cross multiply
    917.13x = 1,370.87 × 895.26
  4. Step 4: Simplify right side
    917.13x = 1,227,280.60
  5. Step 5: Solve for x
    x = 1,227,280.60/917.13
  6. Step 6: Final answer
    x = 1,338.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.