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Finding the Fourth Proportional to 1,317.48, 1,809.48 and 1,096.08

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Solution

The fourth proportional to 1,317.48, 1,809.48 and 1,096.08 is: 1,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.48 : 1,809.48 = 1,096.08 : x
  2. Step 2: Convert to fraction form
    1,317.48/1,809.48 = 1,096.08/x
  3. Step 3: Cross multiply
    1,317.48x = 1,809.48 × 1,096.08
  4. Step 4: Simplify right side
    1,317.48x = 1,983,334.84
  5. Step 5: Solve for x
    x = 1,983,334.84/1,317.48
  6. Step 6: Final answer
    x = 1,505.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.