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Finding the Fourth Proportional to 1,314.19, 1,812.25 and 960.17

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Solution

The fourth proportional to 1,314.19, 1,812.25 and 960.17 is: 1,324.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.19 : 1,812.25 = 960.17 : x
  2. Step 2: Convert to fraction form
    1,314.19/1,812.25 = 960.17/x
  3. Step 3: Cross multiply
    1,314.19x = 1,812.25 × 960.17
  4. Step 4: Simplify right side
    1,314.19x = 1,740,068.08
  5. Step 5: Solve for x
    x = 1,740,068.08/1,314.19
  6. Step 6: Final answer
    x = 1,324.06

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1.5x scale

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.