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Finding the Fourth Proportional to 1,068.40, 1,476.12 and 805.96

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Solution

The fourth proportional to 1,068.40, 1,476.12 and 805.96 is: 1,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.40 : 1,476.12 = 805.96 : x
  2. Step 2: Convert to fraction form
    1,068.40/1,476.12 = 805.96/x
  3. Step 3: Cross multiply
    1,068.40x = 1,476.12 × 805.96
  4. Step 4: Simplify right side
    1,068.40x = 1,189,693.68
  5. Step 5: Solve for x
    x = 1,189,693.68/1,068.40
  6. Step 6: Final answer
    x = 1,113.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.