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Finding the Fourth Proportional to 1,022.14, 1,410.57 and 556.39

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Solution

The fourth proportional to 1,022.14, 1,410.57 and 556.39 is: 767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.14 : 1,410.57 = 556.39 : x
  2. Step 2: Convert to fraction form
    1,022.14/1,410.57 = 556.39/x
  3. Step 3: Cross multiply
    1,022.14x = 1,410.57 × 556.39
  4. Step 4: Simplify right side
    1,022.14x = 784,827.04
  5. Step 5: Solve for x
    x = 784,827.04/1,022.14
  6. Step 6: Final answer
    x = 767.83

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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.