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Finding the Fourth Proportional to 1,141.96, 1,570.68 and 941.38

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Solution

The fourth proportional to 1,141.96, 1,570.68 and 941.38 is: 1,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.96 : 1,570.68 = 941.38 : x
  2. Step 2: Convert to fraction form
    1,141.96/1,570.68 = 941.38/x
  3. Step 3: Cross multiply
    1,141.96x = 1,570.68 × 941.38
  4. Step 4: Simplify right side
    1,141.96x = 1,478,606.74
  5. Step 5: Solve for x
    x = 1,478,606.74/1,141.96
  6. Step 6: Final answer
    x = 1,294.80

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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.