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Finding the Fourth Proportional to 1,509.39, 2,083.64 and 920.16

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Solution

The fourth proportional to 1,509.39, 2,083.64 and 920.16 is: 1,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.39 : 2,083.64 = 920.16 : x
  2. Step 2: Convert to fraction form
    1,509.39/2,083.64 = 920.16/x
  3. Step 3: Cross multiply
    1,509.39x = 2,083.64 × 920.16
  4. Step 4: Simplify right side
    1,509.39x = 1,917,277.58
  5. Step 5: Solve for x
    x = 1,917,277.58/1,509.39
  6. Step 6: Final answer
    x = 1,270.23

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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.