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Finding the Fourth Proportional to 1,317.82, 1,976.73 and 741.10

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Solution

The fourth proportional to 1,317.82, 1,976.73 and 741.10 is: 1,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.82 : 1,976.73 = 741.10 : x
  2. Step 2: Convert to fraction form
    1,317.82/1,976.73 = 741.10/x
  3. Step 3: Cross multiply
    1,317.82x = 1,976.73 × 741.10
  4. Step 4: Simplify right side
    1,317.82x = 1,464,954.60
  5. Step 5: Solve for x
    x = 1,464,954.60/1,317.82
  6. Step 6: Final answer
    x = 1,111.65

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.