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Finding the Fourth Proportional to 1,142.36, 1,576.81 and 700.19

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Solution

The fourth proportional to 1,142.36, 1,576.81 and 700.19 is: 966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.36 : 1,576.81 = 700.19 : x
  2. Step 2: Convert to fraction form
    1,142.36/1,576.81 = 700.19/x
  3. Step 3: Cross multiply
    1,142.36x = 1,576.81 × 700.19
  4. Step 4: Simplify right side
    1,142.36x = 1,104,066.59
  5. Step 5: Solve for x
    x = 1,104,066.59/1,142.36
  6. Step 6: Final answer
    x = 966.48

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Half scale
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Double scale
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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.