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Finding the Fourth Proportional to 1,224.18, 1,828.71 and 981.18

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Solution

The fourth proportional to 1,224.18, 1,828.71 and 981.18 is: 1,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.18 : 1,828.71 = 981.18 : x
  2. Step 2: Convert to fraction form
    1,224.18/1,828.71 = 981.18/x
  3. Step 3: Cross multiply
    1,224.18x = 1,828.71 × 981.18
  4. Step 4: Simplify right side
    1,224.18x = 1,794,293.68
  5. Step 5: Solve for x
    x = 1,794,293.68/1,224.18
  6. Step 6: Final answer
    x = 1,465.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.