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Finding the Fourth Proportional to 914.40, 1,382.40 and 914.40

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Solution

The fourth proportional to 914.40, 1,382.40 and 914.40 is: 1,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.40 : 1,382.40 = 914.40 : x
  2. Step 2: Convert to fraction form
    914.40/1,382.40 = 914.40/x
  3. Step 3: Cross multiply
    914.40x = 1,382.40 × 914.40
  4. Step 4: Simplify right side
    914.40x = 1,264,066.56
  5. Step 5: Solve for x
    x = 1,264,066.56/914.40
  6. Step 6: Final answer
    x = 1,382.40

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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.