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Finding the Fourth Proportional to 1,313.84, 1,968.68 and 1,069.16

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Solution

The fourth proportional to 1,313.84, 1,968.68 and 1,069.16 is: 1,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.84 : 1,968.68 = 1,069.16 : x
  2. Step 2: Convert to fraction form
    1,313.84/1,968.68 = 1,069.16/x
  3. Step 3: Cross multiply
    1,313.84x = 1,968.68 × 1,069.16
  4. Step 4: Simplify right side
    1,313.84x = 2,104,826.74
  5. Step 5: Solve for x
    x = 2,104,826.74/1,313.84
  6. Step 6: Final answer
    x = 1,602.04

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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.